Approximation of 𝐑 X with countable subsets of C p ( X ) and calibers of the space C p ( X )

Vladimir Vladimirovich Tkachuk

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 2, page 267-276
  • ISSN: 0010-2628

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Tkachuk, Vladimir Vladimirovich. "Approximation of ${\bf R}^X$ with countable subsets of $C_p(X)$ and calibers of the space $C_p (X)$." Commentationes Mathematicae Universitatis Carolinae 027.2 (1986): 267-276. <http://eudml.org/doc/17457>.

@article{Tkachuk1986,
author = {Tkachuk, Vladimir Vladimirovich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {-closure; Shanin property; pseudocharacter; pointwise convergence; countable approximation; caliber; regular uncountable cardinal},
language = {eng},
number = {2},
pages = {267-276},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Approximation of $\{\bf R\}^X$ with countable subsets of $C_p(X)$ and calibers of the space $C_p (X)$},
url = {http://eudml.org/doc/17457},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Tkachuk, Vladimir Vladimirovich
TI - Approximation of ${\bf R}^X$ with countable subsets of $C_p(X)$ and calibers of the space $C_p (X)$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 2
SP - 267
EP - 276
LA - eng
KW - -closure; Shanin property; pseudocharacter; pointwise convergence; countable approximation; caliber; regular uncountable cardinal
UR - http://eudml.org/doc/17457
ER -

References

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  1. M. E. RUDIN, Lectures on set theoretic topology, Conf. ser. in Math, 23, Amer. Math. Soc, Providence, 1975. (1975) Zbl0318.54001MR0367886
  2. A. B. AРХАНГЕЛЬСКИЙ, Cтроенийе и классификация топологицеских пространств и кардинальные инварианты, Уcпехи Матем. Наук 33, 6 (1978), 29-84. (1978) Zbl0473.57022MR0526012
  3. D. B. ŠAHMATOV, No upper bound for cardinalities of Tychonoff ccc spaces with a G δ -diagonal exists, (An answer to J. Ginsburg and R. G. Woods question.) Comment. Math. Univ. Carolinae 25 (1984), 731-746. (1984) MR0782022
  4. J. GINSBURG R. G. WOODS, A cardinal inequality for topological spaces involving closed discrete sets, Proc. Amer. Math. Soc. 64 (1977), 357-360. (1977) MR0461407
  5. V. V. USPENSKIJ, A large F σ -discrete Fréchet space having the Souslin property, Comment. Math. Univ. Carolinae 25 (1984), 257-260. (1984) MR0768812

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