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Title: On $n$-in-countable bases (English)
Author: Peregudov, S. A.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 41
Issue: 1
Year: 2000
Pages: 175-178
Category: math
Summary: Some results concerning spaces with countably weakly uniform bases are generalized for spaces with $n$-in-countable ones. (English)
Keyword: weakly uniform base
Keyword: $n$-in-countable base
Keyword: countably compact space
Keyword: separable space
MSC: 54A25
MSC: 54D30
MSC: 54D70
MSC: 54E35
idZBL: Zbl 1038.54011
idMR: MR1756937
Date available: 2009-01-08T18:59:43Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Arhangel'skii A.V., Just W., Reznichenko E., Szeptyczki P.J.: Sharp bases and weakly uniform bases versus point countable appear.
Reference: [2] Balogh Z., Gruenhage G.: Base multiplicity in compact and generalized compact appear. Zbl 0985.54022, MR 1847460
Reference: [3] Engelking R.: General Topology.Warsaw, Heldermann Verlag, Berlin, 1989. Zbl 0684.54001, MR 1039321
Reference: [4] Erdös P., Rado R.: A partition calculus in set theory.Bull. Amer. Math. Soc. 62 (1956), 427-489. MR 0081864
Reference: [5] Hewitt E.: Rings of real-valued continuous functions,1.Trans. Amer. Math. Soc. 64 (1948), 45-99. MR 0026239
Reference: [6] Peregudov S.A.: Weakly uniform bases and the first axiom of countability (in Russian).Math. Zametki 3 (1986), 331-340. MR 0869924
Reference: [7] Peregudov S.A.: On metrizability in a class of topological spaces with a weakly uniform base (in Russian).Bull. Pol. Acad. Nauk 28 (1980), 609-612. MR 0628650
Reference: [8] Ponomarev V.I.: On metrizability of finally compact spaces with a point countable base (in Russian).Dokl. Akad. Nauk SSSR 174 (1967), 1274-1277. MR 0216465
Reference: [9] Shapirovskii B.E.: On separability and metrizability of spaces with Souslin condition (in Russian).Dokl. Akad. Nauk SSSR 207 (1972), 800-803. MR 0322801


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