This is a preview of subscription content, log in via an institution to check access.
Literature cited
A. V. Arkhangel'skii', “The Suslin number and cardinality. Characters of points in sequential compacta,” Dokl. Akad. Nauk SSSR,192, No. 2, 255–258 (1970).
V. V. Fedorchuk, “Completely closed mappings and compatibility of certain theorems of general topology with the axioms of set theory,” Mat. Sb.,99, No. 1, 3–33 (1976).
Jon Barwise (ed.), Handbook of Mathematical Logic, North-Holland, Amsterdam (1977).
K. Kunen, Set Theory, North-Holland, Amsteram-New York-Oxford (1980).
J. Roitman, “Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom,” Fund. Math.,103, No. 1, 47–60 (1979).
D. Booth, “Ultrafilters on a countable set,” Ann. Math. Log.,2, No. 1, 1–24 (1970).
V. I. Malykhin and B. é. Shapirovskii, “Martin's axiom and properties of topological spaces,” Dokl. Akad. Nauk SSSR,213, No. 3, 532–535 (1973).
M. G. Bell, “On the combinatorial principle\(P(\mathfrak{C})\),” Fund. Math.,114, No. 1, 149–157 (1981).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 41, No. 3, pp. 365–376, March, 1987.
Rights and permissions
About this article
Cite this article
Malykhin, V.I. The Fréchet-Urysohn compactum without points of countable character. Mathematical Notes of the Academy of Sciences of the USSR 41, 210–216 (1987). https://doi.org/10.1007/BF01158251
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158251