Literature Cited
A. V. Arkhangel'skii, “Continuous mappings, factorization theorems, and spaces of functions,” Tr. Mosk. Mat. Obshch.,47, 3–21 (1984).
J. M. Aarts and D. J. Lutzer, “Pseudocompleteness and the product of Baire spaces,” Pac. J. Math.,48, No. 1, 1–10 (1973).
M. E. Rudin, “A normal space X for which X×I is not normal,” Fund. Math.,73, No. 2, 179–186 (1971).
K. P. Hart, H. Junnila, and J. van Mill, “A Dowker group,” Comment. Math. Univ. Carolina,26, No. 4, 799–810 (1985).
P. Zenor, “Countable paracompactness of Fσ-sets,” Proc. Am. Math. Soc.,55, No. 1, 201–202 (1976).
A. V. Arkhangel'skii and V. I. Ponomarev, Fundamentals of General Topology through Problems and Exercises [in Russian], Nauka, Moscow (1974).
S. P. Gul'ko and T. S. Khmyleva, “Compactness is not preserved by the relation of t-equivalence,” Mat. Zametki.,39, No. 6, 895–903 (1986).
A. V. Ivanov, “On bicompacta all finite powers of which are hereditarily separable,” Dokl. Akad. Nauk SSSR,243, No. 5, 1109–1112 (1978).
A. V. Arkhangel'skii, “Spaces of functions in the topology of pointwise convergence,” Usp. Mat. Nauk,39, No. 5, 11–50 (1984).
V. Valov, “Some properties of Cp(X),” Comment. Math. Univ. Carolina,27, No. 4, 665–672 (1986).
V. V. Tkačuk, “The spaces Cp(X): decomposition into a countable union of bounded subspaces and completeness properties,” Topol. Appl.,22, No. 3, 241–253 (1986).
A. V. Arkhangel'skii, “Spaces of functions and conditions of completeness type,” Vestn. Mosk. Gos. Univ., No. 6, 4–9 (1983).
M. G. Tkačenko, “Some results on inverse spectra, II,” Comment. Math. Univ. Carolina,22, No. 4, 819–841 (1981).
A. V. Arkhangel'skii, “Spaces of functions in the topology of pointwise convergence, Part 1,” Convergence, General Topology, Spaces of Functions and Dimensionality [in Russian], Moscow State Univ., Moscow (1985), pp. 3–66.
Additional information
Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 1, pp. 116–130, January–February, 1991.
Rights and permissions
About this article
Cite this article
Tkachuk, V.V. Methods of the theory of cardinal invariants and the theory of mappings as applied to spaces of functions. Sib Math J 32, 93–107 (1991). https://doi.org/10.1007/BF00970165
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970165