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Title: Approximation of ${\bf R}^X$ with countable subsets of $C_p(X)$ and calibers of the space $C_p (X)$ (English)
Author: Tkachuk, V. V.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 27
Issue: 2
Year: 1986
Pages: 267-276
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Category: math
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MSC: 54A25
MSC: 54C35
MSC: 54C40
MSC: 54D60
idZBL: Zbl 0601.54002
idMR: MR857546
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Date available: 2008-06-05T21:24:49Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106449
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Reference: [1] M. E. RUDIN: Lectures on set theoretic topology.Conf. ser. in Math, 23, Amer. Math. Soc, Providence, 1975. Zbl 0318.54001, MR 0367886
Reference: [2] A. B. AРХАНГЕЛЬСКИЙ: Cтроенийе и классификация топологицеских пространств и кардинальные инварианты.Уcпехи Матем. Наук 33, 6 (1978), 29-84. Zbl 0473.57022, MR 0526012
Reference: [3] D. B. ŠAHMATOV: No upper bound for cardinalities of Tychonoff ccc spaces with a $G_{\delta}$-diagonal exists.(An answer to J. Ginsburg and R. G. Woods question.) Comment. Math. Univ. Carolinae 25 (1984), 731-746. MR 0782022
Reference: [4] J. GINSBURG R. G. WOODS: A cardinal inequality for topological spaces involving closed discrete sets.Proc. Amer. Math. Soc. 64 (1977), 357-360. MR 0461407
Reference: [5] V. V. USPENSKIJ: A large $F_{\sigma}$-discrete Fréchet space having the Souslin property.Comment. Math. Univ. Carolinae 25 (1984), 257-260. MR 0768812
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