Literaturverzeichnis
R. A. Alò andH. L. Shapiro, ℒ-realcompactifications and normal bases. J. Austral. Math. Soc.9, 489–495 (1969).
G. Bachman andP.-S. Hsu, Extension of lattice continuous maps to generalized Wallman spaces. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8)62, 107–114 (1977).
B. Banaschewski, On Wallman's method of compactification. Math. Nachr.27, 105–114 (1963).
B. Banaschewski, Extensions of topological spaces. Canad. Math. Bull.7, 1–22 (1964).
H. L.Bentley, Normal bases and compactifications. Proc. Univ. Okla. Topol. Conf., Norman, Okla. 1972, 23–37 (1972).
H. L.Bentley, Nearness spaces and extensions of topological spaces. Stud. Topol. Proc. Conf., Charlotte, N.C., 1974, 47–66 (1975).
H. L. Bentley andH. Herrlich, Completion as reflection. Comment. Math. Univ. Carolinae19, 541–568 (1978).
H. L. Bentley andS. A. Naimpally, WallmanT 1-compactifications as epireflections. Gen Topol. Appl.4, 29–41 (1974).
H. L. Bentley andS. A. Naimpally, ℒ-realcompactifications as epireflections. Proc. Amer. Math. Soc.44, 196–202 (1974).
C. M. Biles, Wallman-type compactifications. Proc. Amer. Math. Soc.25, 363–368 (1970).
J. L. Blasco, Complete bases and Wallman realcompactifications. Proc. Amer. Math. Soc.75, 114–118 (1979).
R. Blefko andS. Mrówka, On the extensions of continuous functions from dense subspaces. Proc. Amer. Math. Soc.17, 1396–1400 (1966).
A. J. D'Aristotle, A note on ℒ-realcompactifications. Proc. Amer. Math. Soc.32, 615–618 (1972).
H.Dobbertin, Normal lattices and Wallman-type compactifications. Manuscript.
R. Engelking, Remarks on real-compact spaces. Fund. Math.55, 303–308 (1964).
R. Engelking, General Topology. Polska Akademia Nauk, Monografie Matematyczne, Warszawa 1977.
O. Frink, Compactifications and semi-normal spaces. Amer. J. Math.86, 602–607 (1964).
M. S. Gagrat andS. A. Naimpally, Proximity approach to extension problems. Fund. Math.71, 63–76 (1971).
M. S. Gagrat andS. A. Naimpally, Wallman compactifications and Wallman realcompactifications. J. Austral. Math. Soc.15, 417–427 (1973).
A. García-Máynes, Basis and compactifications. An. Inst. Mat. Univ. Nac. Autonóma Méxiko17, 17–39 (1977).
D. Hajek, Functions with continuous Wallman extensions. Czech. Math. J.24, 40–43 (1974).
D. Harris, The Wallman compactification as a functor. Gen. Topol. Appl.1, 273–281 (1971).
H. Herrlich, Fortsetzbarkeit stetiger Abbildungen und Kompaktheitsgrad topologischer Räume. Math. Z.96, 64–72 (1967).
R. H. McDowell, Extension of functions from dense subspaces. Duke Math. J.25, 297–304 (1958).
V. I. Ponomarev, On the extension of multivalued mappings of topological spaces to their compactifications. Amer. Math. Soc. Transl. (2)38, 141–158 (1964).
N. A. Shanin, On special extensions of topological spaces. C.R. Acad. USSR38, 6–9 (1943).
N. A. Shanin, On separation in topological spaces. C.R. Acad. USSR38, 110–113 (1943).
E. F. Steiner, Wallman spaces and compactifications. Fund. Math.61, 295–304 (1967/68).
A. D. Taimanov, On extension of continuous mappings of topological spaces. Mat. Sb.31, 459–463 (1952).
B. Z. Vulih, On the extension of continuous functions in topological spaces. Mat. Sb.30, 167–170 (1952).
H. Wallman, Lattices and topological spaces. Ann. Math.39, 112–126 (1938).
M. D.Weir, Hewitt-Nachbin Spaces. Mathematics Studies17, Amsterdam-Oxford-New York 1975.
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Ich möchte hier H. Dobbertin für seine Anregungen und Verbesserungsvorschläge danken.
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Wilke, G. Basen und die Fortsetzung stetiger Abbildungen. Arch. Math 39, 250–261 (1982). https://doi.org/10.1007/BF01899532
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DOI: https://doi.org/10.1007/BF01899532