Literature Cited
J. M. Aarts and M. Mršević, “Pairwise complete regularity as a separation axiom,” Report 87-57, Delft Univ. Techn., Fak. Math. Inf. (1987).
J. M. Aarts and M. Mršević, “A bitopological view on cocompact extensions,” Report 87-66, Delft Univ. Techn., Fak. Math. Inf. (1988).
J. M. Aarts and M. Mršević, “Pairwise complete regularity as a separation axiom,”J. Austral. Math. Soc., Ser. A.,48, 235–245 (1990).
M. E. Abd. El-Monsef and A. S. Ramadan, “α-Compactness in bifuzzy topological spaces,”Fuzzy Sets Syst.,30, No. 2, 165–173 (1989).
M. E. Abd. El-Monsef, A. S. Ramadan, and A. S. Mashhour “On pairwise α-compact spaces,”Proc. Math. Phys. Soc. Egypt, No. 59, 183–196 (1985).
D. Adnadjević, “Topology and order,”Dokl. Akad. Nauk SSSR,206, 1273–1276 (1972).
D. Adnadjević, “Some questions of interrelation between topology and quasi-order,” in:Top. and Appl., Proc. Int. Symp. Top. Appl. Budva, Belgrade (1973), pp. 11–15.
G. E. Albert, “A note on quasi-metric spaces,”Bull. Am. Math. Soc.,47, 479–482 (1941).
A. V. Arhangel'skii and B. M. Bokalo, “On tangential properties of topological spaces,”Vestn. Mosk. Univ., Ser. 1, Mat., Mech., No. 1, 26–29 (1989).
S. P. Arya, “Quasi semi-components in bitopological spaces,”Ind. J. Pure Appl. Math.,21, 649–652 (1990).
S. P. Arya and M. P. Bhamini, “Some generalization of pairwise Urysohn spaces,”Ind. J. Pure Appl. Math.,18, 1088–1093 (1987).
S. P. Arya and M. P. Bhamini, “Minimal pairwiseP-spaces,”Glas. Math., Ser. III,23 (43), 365–372 (1988).
S. P. Arya and T. M. Nour, “Pairwise locally semi-connected spaces,”Ind. J. Pure Appl. Math.,18, 402–409 (1987).
S. P. Arya and T. M. Nour, “s-Connectedness between sets and pairwise set-s-connected mappings in bitopological spaces,”Ind. J. Pure Appl. Math.,18, 597–604 (1987).
S. P. Arya and T. M. Nour, “Separation axioms for bitopological spaces,”Ind. J. Pure Appl. Math.,19, 42–50 (1988).
S. P. Arya and T. M. Nour, “Quasi-semi-components in bitopological spaces,”Ind. J. Pure. Appl. Math.,21, 649–652 (1990).
Atsuji Masahiko, “Pseudo- and countable compactness and bitopological spaces,” in:Gen. Topol. and Relat. Mod. Anal. and Algebra, 6: Proc. 6-th Prague Topol. Symp. Berlin (1988), p. 654.
M. Balanzat, “Sobre la metrizacion de los espacios causi metricos,”Gaz. Mat. Lisboa,12, No. 50, 91–94 (1951).
G. Balasubramanian, “A characterization of pairwiseC-compact spaces,”Math. Ed. (Siwan),23, No. 3, 119–121 (1989).
B. Banaschewski and G. C. L. Brümmer, “Strong zero-dimensionality of biframes and bispaces,”Quaest. Math.,13, 273–290 (1990).
B. Banaschewski, G. C. L. Brümmer, and K. A. Hardic, “Biframes and bispaces,”Quaest. Math.,6, 13–25 (1983).
G. K. Banerjee, “On pairwise almost stronglyQ-continuous mappings,”Bull. Calcutta Math. Soc.,79, 314–320 (1987).
C. Barnhill and P. Fletcher, “Topological spaces with a unique compatible quasi-uniform structure,”Arch. Math. (Basel),21, 206–209 (1970).
Bella Angelo and Gallo Giovanni, “On a notion of pairwise functional compactness in bitopological spaces,”Kyungpook Math. J.,28, 83–90 (1988).
T. Birsan, “Uniformisation des structures topologiques a bases locales denombrables,”An. Sti. Univ. Iasi,34, No. 3, 201–206 (1988).
S. Bodjanova, “Some basic notions of mathematical analysis in oriented metric spaces,”Math. Slovaka,31, 277–289 (1981).
S. Bose and D. Sinha, “Pairwise almost continuous map and weakly continuous map in bitopological spaces,”Bull. Calcutta Math. Soc.,74, 195–206 (1982).
L. M. Brown, “A topic in the theory of bitopological spaces,”Karademiz Univ. Math.,5, 142–149 (1982).
L. M. Brown, “Confluence para-quasi-uniformities,” in:Topology Theory and Applications. 5, Colloq. Math. Soc. Janos Bolyai,41 (1985), pp. 125–152.
L. M. Brown, “The bitopologicalP-Q-metrization problems,”Fen. Fak. Derg., Spec. issue,2, 77–86 (1985).
G. C. L. Brümmer, “Initial quasi-uniformities,”Indag. Math.,31, 403–409 (1969).
G. C. L. Brümmer, “On certain factorizations of functors into the category of quasi-uniform spaces,”Quaest. Math.,2, 59–84 (1977).
G. C. L. Brümmer, “Functorial transitive quasi-uniformities,” in:Categorical Topology, Proc. Conf. Toledo, Ohio, 1983, Reidemaister Verlag, Berlin (1984), pp. 163–184.
G. C. L. Brümmer, “Quasi-uniforming completion-true sections,”Notic. S. Afr. Math. Soc.,16, 199 (1984).
G. C. L. Brümmer, E. Giuli, and H. Herrlich, “Epireflections which are completions,” RR086, Dpt. Math., Univ. Cape Town (1989).
G. C. L. Brümmer and A. W. Hager, “Functorial uniformization of topological spaces,”Topol. Appl.,27, 113–127 (1987).
D. Buhagiar, “Compactness and extension in bitopological spaces,” Preprint No. 20, Inst. Prikl. Astr., Acad. Nauk SSSR (1990).
M. Câmpian, “Grupurin-topologice,”Sem. Th. Anghelutâ, Cluj-Napoca, 257–262 (1983).
M. Câmpian, “Binary relations and bitopological spaces,” Prepr. Babes-Bolyai Univ. Fac. Math. Phys., Res. Semin., No. 6, 115–118 (1987).
M. Câmpian and V. Câmpian, “Contributii la teorian-structurilor,”Bul. Inst. Pos. Cluj-Napoca, Ser. Mat. Mech.,28, 57–61 (1985).
M. Câmpian and V. Câmpian, “Bitopological groups in A. A. Ivanov's meaning,” Prepr. Babes-Bolyai Univ. Fac. Math. Phys. Res. Semin., No. 6, 109–114 (1987).
M. Câmpian and V. Câmpian, “n-Grupurin-topologice,”Bull. Inst. Pol. Cluj-Napoca, Ser. Mat. Mech.,32, 11–14 (1989).
V. Câmpian, “Spatii topologice produs ou topologii nedecompozabile,”Symp. Realiz. Persp. Domen. Trad., Cluj-Napoca,11, 79–84 (1986).
V. Câmpian, “Puuncte fixe pentru aplicatii definite pe spatiin-metrice”,Bull. Inst. Pol. Cluuj-Napoca, Ser. Mat. Mech.,30, 9–14 (1987).
V. Câmpian, “Perturbed topologies I,” Prepr. Bases-Bolyai Univ. Fac. Math. Phys. Res. Semin., No. 6, 103–108 (1987).
V. Câmpian, “Asupra spatiilor bitopologice Ivanov”,Conf. Mat. Mech. Cluj-Napoca (1988), pp. 151–153.
V. Câmpian and J. Rasa, “Topologii perturbate II”,Bull. Inst. Pol. Cluj-Napoca, Ser. Mat. Mech.,32, 7–10 (1989).
J. W. Carlson, “Completeness and related topics in a quasi-uniform spaces”, Doct. Diss. Univ. Mo.-Rolla (1970), Diss. Abstr. Int.,B31, No. 11, 6740 (1971).
J. Carlson and T. Hick, “Completeness in quasi-uniform spaces”,J. Math. Anal. Appl.,34, 618–627 (1971).
J. R. H. Charlton, “Topology, bitopology and order”, M. Sc. Thesis, Univ. Cape Town (1973).
K. C. Chattopadhyay and R. N. Hazza, “Theory of extensions of biclosure spaces and basic quasiproximities”,Kyungpook Math. J.,30, 137–162 (1990).
Ácos Császár, “Doubly compact bitopological spaces,” in:Topology and Its Applications, Proc. Int. Symp. Top. Appl. (Budva), Boegrad, (1973), p. 71.
H. Dasgupta and B. K. Lahiri, “Discontinuity of mapping in bitopological spaces”,Rev. Un. Mat. Argentina,31, No. 3, 99–105 (1984).
A. Di Concilio, “Spazi quasimetrici e topologie ad essi accociate”,Rend. Fis. Mat. Napoli,38, 113–130 (1971).
G. Di Maio and T. Noiri, “Remarks on two weak forms of connectedness in bitopological spaces”,Bull. Inst. Math. Acad. Sin.,16, 135–147 (1988).
D. Doitchinov, “On completeness of quasi-uniform spaces”,C. R. Acad. Bulgare Sci.,41, 5008 (1988).
D. Doitchinov, “Completeness and completions of quasi-metric spaces”,Suppl. Rend. Circ. Palermo, Ser. II,18, 41–50 (1988).
D. Doitchinov, “On completeness in quasi-metric spaces”,Topol. Appl.,30, 127–148 (1988).
D. Doitchinov, “Cauchy sequences and completeness in quasi-metric spaces”,Pliska: Bulg. Mat. Stud., 27–34 (1991).
D. Doitchinov, “A concept of completeness of quasi-uniform spaces”,Topol. Appl.,38, 205–217 (1991).
R. Z. Domiaty, “The Hausdorff separation property for space-time”, Eleutheria (Athens)2, 358–371 (1979).
R. Z. Domiaty, “Life withoutT 2”, in: Differential-Geometric Methods in Theoretical Physics, Conf. Clausthal-Zellerfeld (FRG), July 1978,Lecture Notes Physics, Berlin-Heidelberg-New York, Springer (1980).
B. P. Dvalishcili, “Some double structures and their applications”, in: 5thTiraspol Simp. Obshch. Top. i Prilozh, Kishinev (1985), pp. 71–72.
B. P. Dvalishvili, “Boolean generalized algebras and their representations”,Trudy Tbilissk. Mat. Inst.,78, 104–124 (1986).
J. Ewert, “Weak forms of continuity, quasi-continuity and cliqueshness of maps with respect to two topologies”,Glas. Math.,21, 179–189 (1986).
J. Ewert, “Bair classification and multivalued”Ann. Soc. Math. Pol., Ser. 1, Commentat Math.,27, 59–65 (1987).
J. Ewert, “On pairwise Hausdorff bitopological spaces”,Math. Chron.,16, 57–63 (1987).
J. Ewert, “Remarks on generalized continuity of multivalued maps with respect to two topologies”,Stud. si Cerc. Mat.,42, 427–430 (1990).
M. Fitting, “Logic programming on a topological bilattice”,Ann. Soc. Math. Pol., Ser. IV,11, 209–218 (1988).
P. Fletcher, “Finite topological spaces and quasi-uniform structures”Can. Math. Bull.,12, 771–775 (1969).
P. Fletcher, “On totally bound quasi-uniform spaces”,Arch. Math. (Basel),21, 396–401 (1970).
P. Fletcher, “On completeness of quasi-uniform spaces”,Arch. Math., (Basel)22, 200–204 (1971).
P. Fletcher, J. Hejcman, and W. Hunsaker, “A noncompletely regular quiet quasi-uniformity”,Proc. Amer. Math. Soc.,108, 1077–1079 (1990).
P. Fletcher and W. Hunsaker, “Uniformly regular quasi-uniformities”,Top. Appl.,37, 285–291 (1990).
P. Fletcher and W. F. Lindgren, “Quasi-uniformities with a transitive base”,Pacif. J. Math.,43, 619–631 (1972).
P. Fletcher and W. F. Lindgren, “Transitive quasi-uniformities”,J. Math. Anal. Appl.,33, 397–405 (1972).
P. Fletcher and W. F. Lindgren,Quasi-uniform spaces, Marsel Dekker, New York-Basel (1982).
P. Fletcher and S. A. Naimpally, “On almost complete and almost precompact quasi-uniform spaces”,Czech. Math.,21, 383–390 (1971).
Livan C. Florescu, “Pseudouniform structures onL(X, A, μ),” inThe XVIII-th National Conference on Geometry and Topology, Prepr. Babes-Bolyai Univ. Fac. Math. Phys., No. 2, 73–76 (1988).
Ali A. Fora, Al-Refa'ei, and H. Mahhmoud, “Fixed point theory in bitopological spaces”,Arab. Gulf. J. Sci. Res. A., Math. Phys. Sci.,5, 1–10 (1987).
R. Fox, “On metrizability and quasi-metrizability”, Preprint.
R. Fox, “A short proof of the Junnila quasi-metrization theorem”,Proc. Am. Math. Soc.,83, 663–664 (1981).
J. L. Frith, “Structured frames”, TR001, Thesis reprint, Dpt. Math. Univ. Cape Town (1987).
J. L. Frith, “The congruence lattice of a frame: a “bitopological” characterization”, RR091, Dpt. Math. Univ. Cape Town (1990).
Takayoshi Fukutake, “On some separation properties on bitopological spaces”,Kyngpook Math. J.,27, 115–125 (1987).
Takayoshi Fukutake, “Separation axioms inr-spaces”,Bull. Fukuoka Univ. Educ., Part III,37, 29–32 (1988).
Takayoshi Fukutake, “Semi-open sets in bitopological spaces”,Bull. Fukuoka Univ. Edic., Part III,38, 1–7 (1989).
S. Ganguly and M. N. Mukherjee, “A note on bitopological spaces which are not pairwise Hausdorff”,Mathematika (Cluj),28, 111–116 (1986).
S. Ganguly and M. N. Mukherjee, “A note on mixed topology for a bitopological spaces”,Bull. Calcutta Math. Soc.,81, 394–398 (1989).
V. Gregory and J. Ferrer, “Some classes of bitopological spaces with unique quasi-unniformity”,Can. Math. Bull.,29, 446–449 (1986).
A. Gutierrez, “On pairwise paracompact spaces,” Preprint.
A. Guttierrez and S. Romaguera, “C-binary relations and pairwise normality”,An. Sti. Univ. Iasi,32, No. 2, 29–33 (1986).
A. Guttierrez and S. Romaguera, “A Postscript toC-binary relations and pairwise normality”,An. Sti. Univ. Iasi,35, No. 2, 115–116 (1989).
M. N. Halpin, “Transitive quasi-uniformities for bitopological spaces”,Math. Colloq. Univ. Cape Town,11, 47–64 (1977).
Peter Hart Klaas, “Spaces for which the diagonal has a closed neighborhood base”,Colloq. Math.,53, 49–56 (1987).
E. Hayashi, “Steiner's quasi-proximaties and bitopological spaces”,Bull. Nagoya Inst. Tech. 35, 81–83 (1984).
R. W. Heath, “A note on quasi-metric spaces”,Not. Am. Math. Soc.,18, 786 (1971).
Jan Heicman and Jiři Vilimovsky “On a property of pseudo-metrics and uniformities near to convexity”,Czechoslovak Math. J.,38(113), 366–380 (1988).
Melvin Henriksen and Ralph Kopperman, “Bitopological spaces of ideals,” in: Proc. Northeast Conf., Middletown, CT (USA),Lect. Notes Pure Appl. Math.,123, 133–141 (1990).
W. Hunsaker and W. F. Lindgren, “Construction of quasi-uniformities”,Math. Ann.,188, 39–42 (1970).
A. A. Ivanov, “Extension structures”,Zap. Nauch. Semin. LOMI,36, 50–125 (1973).
A. A. Ivanov, “Enrichments”,Zap. Nauch. Semin. LOMI,36, 125–133 (1973).
A. A. Ivanov, “Extension structures”,J. Sov. Math.,8, 561–602 (1977).
A. A. Ivanov, “Enrichments”,J. Sov. Math.,8, 609–614 (1977).
A. A. Ivanov, “Topological type spaces,” in: 4-th Tiraspol Simp. Obshch. Top. i Prilozh., Kishinev, 47–50 (1979).
A. A. Ivanov, “Internal spatial structures”, Doct. Diss., LOMI Akad. Nauk SSSR, Leningrad (1980).
A. A. Ivanov, “Structures of topological type”,J. Sov. Math.,19, 1207–1249 (1982).
A. A. Ivanov, “Bitopological spaces”,J. Sov. Math.,26, 1622–1636 (1984).
A. A. Ivanov, “Problems of the theory of bitopological spaces,” 5-th Tiraspol Simp. Obshch. Top. i Prilozh., Kishinev (1985), pp. 104–107.
A. A. Ivanov, “Bitopological representations of continuous mappings”, Preprint LOMI, P-4-86 (1986).
A. A. Ivanov, “Bitopological manifolds”,J. Sov. Math.,37, No. 3, 1063–1089 (1987).
A. A. Ivanov, “Problems of the theory of bitopological spaces”, in:Baku Int. Conf., Baku (1987), p. 124.
A. A. Ivanov, “Problems of the theory of bitopological spaces”,Zap. Nauchn. Semin. LOMI,167, 5–62 (1988).
A. A. Ivanov, “Bibliography on bitopological spaces”,Zap. Nauchn. Semin. LOMI,167, 63–78 (1988).
A. A. Ivanov, “Bitopologization of algebraic objects,” in:Mat. Chteniya Pamyati Suslina, Saratov (1989), p. 13.
A. A. Ivanov, “Problems of the theory of bitopological spaces”,J. Sov. Math.,52, 2759–2790 (1990).
A. A. Ivanov, “Bibliography on bitopological spaces”,J. Sov. Math.,52, 2790–2799 (1990).
A. A. Ivanov, “Application of bitopology to algebra”,Uch. Zap. Tartu Univ.,940, 57–62 (1992).
M. Jas and A. P. Baisnab, “Positive definitness in quasi-proximity spaces and fixed point theorems”,Bull. Calcutta Math. Soc.,80, 153–160 (1988).
M. Jas and A. P. Baisnab, “On quasi-proximal mappings”,Indian J. Math.,30, 29–39 (1980).
Milena Jelic, “PS-closed bitopological spaces”,Mat. Vesn.,38, 299–304 (1986).
Milena Jelic, “ε B -dimension function of bitopological spaces,” in:Gen. Top. and Relat. Mod. Anal. and Algebra 6, 6-th Prague Topol. Symp., Berlin (1988), pp. 669.
Milena Jelic, “ε B function of bitopological spaces”,Mat. Vesn.,39, 293–398 (1987).
Milena Jelic, “ε B in bitopological spaces”,Zb. Rad. Filoz. Fac. Nisu., Ser. Mat., No.3, 25–29 (1989).
Milena Jelic, “T i -pairwise continuous functions and bitopological separation axioms”,Mat. Vesn.,41, 155–159 (1989).
Milena Jelic, “Feeblyp-continuous mappings”,Rend. Circ. Mat. Palermo, Ser. 2, suppl., No. 24, 387–395 (1990).
H. J. K. Junnila, “Covering properties and quasi-uniformities of topological spaces”, Thesis, Virginia Polyt. Inst. and State Univ. Beacksburg (1978).
A. P. Kombarov, “On functionally open and rectangular covers ofX 2/† and some topological characterizations of Corson and Eberlin compact spaces”,Vestn. Mosk. Univ., No. 3, 52–54 (1988).
A. Kandil and M. E. El-Shafee, “Biproximities and fuzzy bitopological spaces”,Simon Stevin,63, No. 1, 45–66 (1989).
Ch. G. Kariofillis, “On pairwise almost compactness”,Ann. Soc. Sci. Bruxelles, Ser. 1,100, No. 4, 129–137 (1986, 1988).
Ch. G. Kariofillis, “On minimal pairwise Hausdorff bitopological spaces”,Ind. J. Pure Appl. Math.,19, 751–760 (1988).
A. K. Katsaras and C. G. Petalas, “Fuzzy topologies and fuzzy quasi-uniformities”,Rad. Mat.,4, 15–29 (1988).
A. K. Katsaras, “Fuzzy neighborhood structures and fuzzy quasi-uniformities”,Fuzzy Set Syst.,29, 187–199 (1989).
Ya. A. Kofner, “On Δ-metrizable spaces”,Mat. Zametki,13, 277–287 (1973).
R. Kopperman, “Compactness and Doitchinov completion,” Preprint.
R. Kopperman and P. R. Meyer, “Cardinal invariants of bitopological spaces”,Čas. Pest. Mat.,114, 374–380 (1989).
T. Koufogiorgos and C. Baikoussis, “Pairs of metrics on manifolds,”An. Sti. Univ. Iasi, Sect. 1a,33, No. 1, 59–62 (1987).
H.-P. A. Künzi, “Quasi-metrisiebar Räume,” Thesis, Univ. Bern (1981).
H.-P. A. Künzi, “Complete quasi-pseudo-metric spaces,” Preprint.
H.-P. A. Künzi, “On strongly quasi-metrizable spaces,”Arch. Math. (Basel),41, 54–63 (1983).
H.-P. A. Künzi, “A note on sequentially compact quasi-pseudo-metric spaces,”Monatsh. Math.,95, 219–220 (1983).
H.-P. A. Künzi, “Some remarks on quasi-uniform spaces,” Preprint (1988).
H.-P. A. Künzi, “Some remarks on quasi-uniform spaces,”Glas. Math. J.,31, 309–320 (1989).
H.-P. A. Künzi, “Functorial admissible quasi-uniformities on topological spaces,” Preprint (1989).
H.-P. A. Künzi, “A regular space without a uniformly regular quasi-uniformity,”Monatsh. Math.,110, 115–116 (1990).
H.-P. A. Künzi and G. C. L. Brümmer, “Sobrification and bicompletion of totally bounded quasiuniform spaces,”Math. Proc. Camb. Philos. Soc.,101, 237–247 (1987).
H.-P. A. Künzi and Nathalie Ferraroi, “Bicompleteness of the fine quasi-uniformity,”Math. Proc. Camb. Phil. Soc.,109, 167–186 (1991).
Bo Yu Li, Shang Zhi Wang, and Maurice Pouzet, “Topologies and ordered semigroups,” Proc. 1987 Top. Conf., Birmingham, AL 1987,Top. Proc.,12, 309–326 (1987).
W. P. Lindgren, “Topological spaces with a unique quasi-uniform structure,”Arch. Math. (Basel),22, 417–419 (1971).
W. P. Lindgren, “Topological spaces with a unique compatible quasi-uniformities,”Can. Math. Bull.,14, 369–372 (1971).
W. P. Lindgren and P. Fletcher, “Locally quasi-uniform spaces with countable basis,”Duke Math. J.,41, 231–240 (1974).
W. P. Lindgren and P. Fletcher, “A construction of the pair completion of a quasi-uniform space,”Can. Math. Bull.,21, 53–60 (1978).
W. P. Lindgren and P. Fletcher, “Equinormal quasi-uniformities and quasi-metrics,”Glas. Math.,13, 111–125 (1978).
W. P. Lindgren and P. Fletcher, “A theory of uniformities for generalized ordered spaces,”Can. J. Math.,31, 35–44 (1979).
I. Loncar, “PH-closed bitopogolical spaces,”Mat. Vesn.,39, 417–429 (1987).
Luppi Carla, “Un theorema di rappresentazione per le AHT,”Boll. Unione Mat. Ital.,A5, No. 2, 167–173 (1986).
S. N. Maheshwari and P. S. Jain, “Espacios bitopologicosR 0,”Bol. Acad. Ciens. Fis. Mat. Nat.,47, No. 149–150, 17–20 (1987).
S. N. Maheshwari and U. Tapi, “Some new separation axioms in bitopological spaces,”J. Indian Acad. Math.,9, 42–45 (1987).
S. N. Maheshwari and R. K. Tiwari, “On pairwise semicontinuity,”J. Sci. Res.,7, No. 3, 107–110 (1985).
S. N. Maheshwari and R. K. Tiwari, “Inter-relations among some new mappings,”Mathematica (Cluj),29 (52), 139–142 (1987).
S. N. Maheshwari and R. K. Tiwari, “AlmostH-pairwise continuity,”J. Indian Acad. Math.,9, 16–20 (1987).
S. N. Maheshwari and R. K. Tiwari, “On almostH *-pairwise continuity,”J. Indian Acad. Math.,10, 26–31 (1988).
S. N. Maheshwari and R. K. Tiwari, “A note on weak pairwise continuity,”J. Indian Acad. Math.,10, 61–63 (1988).
M. Majumdar, “Formulation of fixed point principle in a weak metric space,”Bull. Math. Soc. Sci. Math. Roumanie,21, 339–343 (1977).
V. I. Malykhin, “Nonpreservation of the properties of topological groups when they are squared,”Sib. Mat. Zh.,28, No. 4, 154–161 (1987).
J. Marin and S. Romaguera, “Quasimetrisation of developable bitopological spaces,” in: Proc. 11-th Spain-Port. Conf. Mat., Badajoz, Spain 1986, Vol. 2, Publ. Dep. Math. Univ. Extremadura,18 (1987), pp. 235–242.
J. A. Martin-Alustiza, J. Martin, and S. Romaguera, “On the bitopological semistratifiability,” in: Proc. 11-th Spain-Port. Conf. Mat., Badajoz, Spain 1986, Vol. 2, Publ. Dep. Math. Univ. Extremadura,18 (1987), pp. 243–251.
A. S. Mashhour, A. A. Aliam, and K. M. Abd El-Hakiem, “Pairwise sup-R 0 and pairwise sup-R 1,” Third Top. Symp. (Assuit 1985),Bull. Fac. Sci. Assuit Univ., A14, No. 2, 141–155 (1985).
M. Mršević, “On bitopological separation exioms,”Mat. Vesn.,36, 313–318 (1986).
M. Mršević and I. L. Reilly, “A note on bitopological connectedness,”Ranchi Univ. Math. J.,18, 1–3 (1988).
M. Mršević, I. L. Reilly, and M. K. Vamanamurthy, “Lebesgue sets in quasi-pseudo-metric spaces,” Preprint.
M. N. Mukherjee, “On product of minimal pairwise Hausdorff bitopological spaces,”An. Sti. Univ. Iasi,29, No. 3, 63–68 (1983).
M. N. Mukherjee, “Semicomponents and semiquasicomponents in bitopological spaces,”Bull. Calcutta Math. Soc.,78, 103–112 (1986).
M. N. Mukherjee, “A note on pairwise semi-open sets in a subspace of a bitopological space,”J. Pure Math.,5, 37–44 (1986).
M. N. Mukherjee and G. K. Banerjee, “PairwiseT i -continuous function and pairwiseT i -separation axioms in bitopological spaces,”Ranchi Univ. Math. J.,18, 13–18 (1987).
M. N. Mukherjee and G. K. Banerjee, “A note on QHC and interiorly QHC bitopological spaces,”An. Sti. Univ. Iasi, Sec. 1a,33, No. 2, 93–98 (1987).
M. N. Mukherjee and G. K. Banerjee, “Pairwise semi-regularization and submaximality of a bitopological space,”An. Sti. Univ. Iasi, Sec. 1a,34, No. 1, 19–24 (1988).
M. N. Mukherjee and G. K. Banerjee, “PairwiseG-axioms in bitopological spaces,”Math. Today,6, 17–28 (1988).
M. N. Mukherjee, G. K. Banerjee, and S. Malakar, “Bitopological QHC-spaces,”Indian J. Pure Appl. Math.,21, 639–648 (1990).
M. N. Mukherjee and T. Dutta, “Faintly semi-open sets and F. S. irresolute maps,”Soochow J. Math.,14, 211–219 (1988).
M. N. Mukherjee and S. Ganguly, “On comparisons of certain noncontinuous multivalued functions between bitopological spaces,”J. Pure Math.,5, 15–26 (1986).
M. N. Mukherjee and S. Ganguly, “Generalization of almost continuous multifunctions to bitopological spaces,”Bull. Calcutta Math. Soc.,79, 274–283 (1987).
M. G. Murdeshwar and S. A. Naimpally, “Trennungaxioms in quasi-uniform spaces,”Nieuw. Arch. Wiskunde,14, No. 3, 97–101 (1964).
S. A. Naimpally, “Function spaces of quasi-uniform spaces,”Proc. Konikl. Nederl. Acad. Wet., A68, 768–771 (1965);Indag. Math.,27, 768–771 (1965).
S. A. Nampally, “Separation axioms in quasi-uniform spaces,”Am. Math. Monthly,74, 283–284 (1967).
S. J. Nedev and M. M. Choban, “On the theory ofO-metrizable spaces. I, II, III,”Vest. MGU, Ser. 1, Mat. Mech.,27, No. 1, 8–15, No. 2, 10–17, No.3, 10–15 (1972).
R. Nielsen and C. Sloyer, “Quasi-uniformizability,”Math. Ann.,182, 273–274 (1969).
R. Nitoiu and Sc. Hatvany, “Separation properties in bitopological spaces,”Lucr. Semin. Mat. Si. Fiz., Inst. Polit. Timisoara, Noiem, 47–50 (1985).
L. J. Norman, “A sufficient condition for quasi-metrizability,”Port. Math.,26, 207–211 (1967).
G. Palias, “Structures quasi-metriques (suite)”Diagrammes,21, 1–28 (1989).
B. K. Papadopoulos, “The topology of quasi-uniform convergence on the setC(Y, Z) of continuous maps,” Topology, 3-rd Nat. Meet., Triest/Italy 1986,Suppl. Rend. Circ. Mat. Palermo, II Ser.,18, 381–390 (1988).
J. Pervin William, “Quasi-uniformization of topological spaces,”Math. Ann.,147, 316–317 (1962).
J. Prodanov, “Abstract approach to an algebraic notion of spectrum,”Trudy Mat. Inst. Steklov,154, 200–208 (1983).
M. D. Rabrenovic, “Characterization of basic bitopological separation axioms,”Mat. Vesn.,42, 55–65 (1990).
James G. Raftery and T. Sturm, “On completion of pseudo-normed BCK-algebras and pseudo-metric universal algebras,”Math. Jpn.,33, 919–929 (1988).
T. G. Raghavan and I. L. Reilly, “Characterization of quasi-metrizable bitopological spaces,”J. Austral. Math. Soc., A44 271–274 (1988).
Asha Rani and S. C. Jain, “Pairwise perfectly normal spaces,”Bull. Calcutta Math. Soc,74, 365–369 (1982).
I. L. Reilly, “Quasi-uniformities and quasi-pseudo-metrics,”Not. Am. Math. Soc.,17, No. 3, (121), 535 (1970).
I. L. Reilly, “On generating quasi uniformities,”Math. Ann.,189, 317–318 (1970).
I. L. Reilly, “Quasi-gauge spaces,”J. London Math. Soc.,6, 481–487 (1973).
I. L. Reilly, “A generalized contraction principle,”Bull. Austral. Math. Soc.,10, 359–363 (1974).
I. L. Reilly, “A note on quasi metric spaces,”Proc. Japan Acad.,52, 428–430 (1976).
I. L. Reilly, P. V. Subrahmanyam, and M. K. Vamanamurthy, “Cauchy sequences in quasi-pseudometric spaces,”Monatsh. Math.,93, 127–140 (1982).
I. L. Reilly and M. K. Vamanamurthy, “On oriented metric spaces,”Math. Slovaca,34, 299–305 (1984).
C. V. Riecke, “Boundedness for bitopological spaces,”Bull. Calcutta Math. Soc.,80, 141–151 (1988).
S. Romaguera, “A characterization of strongly quasi-metrizable spaces,”Math. Jpn.,33, 583–585 (1988).
S. Romaguera, “On equinormal quasi-metrics,”Proc. Edinburg Math. Soc., II Ser.,32, 193–196 (1989).
S. Romaguera and A. Gutierrez, “A note on Cauchy sequences in quasi-pseudo-metric spaces,”Glas. Math.,41, 191–199 (1986).
S. Romaguera, A. Gutierrez, and H. P. Künzi, “Quasi-metrization of pairwise contably compact spaces,”Glas. Math., Ser. III,23 (43), 159–241 (1988).
S. Romaguera and J. Marin, “On the bitopological extension of the Bing metrization theorem,”J. Austral. Math. Soc.,A44, No. 2, 233–241 (1988).
S. Romaguera and S. Salbany, “Quasi-metrization and heredital normality of compact bitopological spaces,”Comment. Math. Univ. Carol.,31, 113–122 (1990).
S. Sablani, “Quasi-uniformities and quasi-pseudo-metrics,”Math. Colloq. Univ. Cape Town,6, 88–102 (1970–71).
S. Salbani, “Unique quasi-uniformities,”Gen. Top. Rel. Anal. Alg., Proc. 6th Symp. Prague/Czech. 1986,Res. Expo. Math.,16, 497–508 (1988).
S. Salbani and S. Romaguera, “On countably compact quasi-pseudo-metrizable spaces,”J. Austral. Math. Soc., A,49, 231–240 (1990).
A. Schauert, “Functional quasi-uniformities over partially ordered spaces,” TR003, Dpt. Math. Univ. Cape Town (1988).
J. L. Sieber and W. J. Pervin, “Completeness in quasi-uniform spaces,”Math. Ann. 158, 79–81 (1965).
M. K. Singal and Lal Sunder “Biquasi-proximity spaces and pairwise proximity spaces,”Kyungpook Math. J.,13, 41–49 (1973).
M. Sion and G. Zelmer, “On quasi-metrizability,”Can. J. Math. 19, 1243–1249 (1967).
M. B. Smyth, “Quasi-uniformities: Reconciling domains with metric spaces,” Mathematical Foundations of Programming Language Semantics, Proc. Workshop, New Orlean/La. 1987,Lect. Notes Comput. Sci.,298, 236–253 (1988).
J. Svoboda, “Quasi-uniformization of closure spaces,”Arch. Math. (Brno),24, 157–161 (1988).
J. Swart, “On bitopological spaces and on the topological characterization of Hilbert space,” Ph. D. Thesis, Univ. South. Africa (1972).
Á. Száz, “Directed, topological and transitive relators,”Publ. Math.,35, 179–196 (1988).
Á. Száz, “Projective and inductive generations of relators,”Acta Math. Hung.,53, 407–430 (1989).
S. S. Thakur, Gyu Ihn Chae, and P. Paik, “Quasi (R 0)α bitopological spaces,”UOU Rep. Nat. Sci. Eng.,19, 139–141 (1988).
S. S. Thakur and P. Paik, “Quasi α-connectedness in bitopological spaces,”J. Indian Acad. Math.,9, 98–103 (1987).
S. S. Thakur and P. Paik, “On quasi α-normal bitopological spaces,”Ranchi Univ. Math. J.,19, 63–64 (1988).
V. L. Timohovich, “Sequencially pseudo-lacy spaces and the problem of their symmetrizability,”Doklady Akad. Nauk BSSR,30, 776–779 (1986).
R. K. Tiwari, “Some new mappings. II,”J. Indian Acad. Math.,9, 21–25 (1987).
R. Vasudevan and C. K. Goel, “A note on pairwiseC-compact bitopological spaces,”Mat. Vesn.,2, 179–188 (1977).
C. Votaw, “Uniqueness of compatible quasi-uniformities,”Can. Math. Bull.,15, 575–583 (1972).
M. S. Waterman, T. F. Smith, and W. A. Beyer, “Some biological sequence metrics,”Advances Math.,20, 367–387 (1976).
Jianrong, Wu, “Separation properties in fuzzy bitopological spaces,”J. Harbin Inst. Technol.,1, 1–6 (1990).
Lecheng Yang, “Pointwise quasi-uniformities on completely distributive lattices,”J. Math. Res. Expo.,8, 187–194 (1988).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 208, 1993, pp. 68–81.
Rights and permissions
About this article
Cite this article
Ivanov, A.A. Bibliography on bitopological spaces. 2. J Math Sci 81, 2497–2505 (1996). https://doi.org/10.1007/BF02362418
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02362418