Approximation of ${\bf R}^X$ with countable subsets of $C_p(X)$ and calibers of the space $C_p (X)$

Vladimir Vladimirovich Tkachuk

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Some properties of $C_{p} (X)$

Vesko M. Valov (1986)

Commentationes Mathematicae Universitatis Carolinae

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A nice class extracted from $C_{p}$ -theory

Vladimir Vladimirovich Tkachuk (2005)

Commentationes Mathematicae Universitatis Carolinae

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We study systematically a class of spaces introduced by Sokolov and call them Sokolov spaces. Their importance can be seen from the fact that every Corson compact space is a Sokolov space. We show that every Sokolov space is collectionwise normal, $ω$ -stable and $ω$ -monolithic. It is also established that any Sokolov compact space $X$ is Fréchet-Urysohn and the space $C_{p} (X)$ is Lindelöf. We prove that any Sokolov space with a $G_{δ}$ -diagonal has a countable network and obtain some cardinality restrictions...

How sensitive is $C_{p} (X, Y)$ to changes in $X$ and/or $Y$ ?

Raushan Z. Buzyakova (2008)

Commentationes Mathematicae Universitatis Carolinae

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We investigate how the Lindelöf property of the function space $C_{p} (X, Y)$ is influenced by slight changes in $X$ and/or $Y$ .

Displaying similar documents to “Approximation of 𝐑 X with countable subsets of C p ( X ) and calibers of the space C p ( X ) ”

Some properties of C p ( X )

A nice class extracted from C p -theory

How sensitive is C p ( X , Y ) to changes in X and/or Y ?

Displaying similar documents to “Approximation of $𝐑^{X}$ with countable subsets of $C_{p} (X)$ and calibers of the space $C_{p} (X)$ ”

Some properties of $C_{p} (X)$

A nice class extracted from $C_{p}$ -theory

How sensitive is $C_{p} (X, Y)$ to changes in $X$ and/or $Y$ ?