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Title: $C_p(I)$ is not subsequential (English)
Author: Malykhin, V. I.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 40
Issue: 4
Year: 1999
Pages: 785-788
Category: math
Summary: If a separable dense in itself metric space is not a union of countably many nowhere dense subsets, then its $C_p$-space is not subsequential. (English)
Keyword: $C_p$-space
Keyword: sequential
Keyword: subsequential
MSC: 03E35
MSC: 54A20
MSC: 54A25
MSC: 54A35
idZBL: Zbl 1009.54033
idMR: MR1756553
Date available: 2009-01-08T18:57:31Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Arhangel'skii A.V.: Topological Function Spaces.Kluwer Dordrecht, Boston, London 54 (1992).
Reference: [2] Malykhin V.I.: On subspaces of sequential spaces.Math. Notes (in Russian) 64 (1998), 3 407-413. MR 1680130
Reference: [3] Pytke'ev E.G.: On maximally resolvable spaces.Proc. Steklov Institute of Mathematics (1984), 154 225-230.
Reference: [4] Malykhin V.I., Tironi G.: Weakly Fréchet-Urysohn spaces.Quaderni Matematica, II Serie, Univ. di Trieste (1996), 386 1-9.


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