Function spaces on $\tau $-Corson compacta and tightness of polyadic spaces

Murray G. Bell; W. Marciszewski

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Displaying similar documents to “Function spaces on $τ$ -Corson compacta and tightness of polyadic spaces”

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...

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

Vesko M. Valov (1986)

Commentationes Mathematicae Universitatis Carolinae

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Displaying similar documents to “Function spaces on τ -Corson compacta and tightness of polyadic spaces”

A nice class extracted from C p -theory

Some properties of C p ( X )

Displaying similar documents to “Function spaces on $τ$ -Corson compacta and tightness of polyadic spaces”

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

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