Approximation of with countable subsets of and calibers of the space
Vladimir Vladimirovich Tkachuk (1986)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Some properties of ”
Approximation of with countable subsets of and calibers of the space
On the cardinality of Lindelöf subspaces of function spaces
Aleksander V. Arhangel'skii, Vladimir Vladimirovich Uspenskij (1986)
Commentationes Mathematicae Universitatis Carolinae
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LΣ(≤ ω)-spaces and spaces of continuous functions
Israel Lara, Oleg Okunev (2010)
Open Mathematics
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We present a few results and problems related to spaces of continuous functions with the topology of pointwise convergence and the classes of LΣ(≤ ω)-spaces; in particular, we prove that every Gul’ko compact space of cardinality less or equal to is an LΣ(≤ ω)-space.
Function spaces on -Corson compacta and tightness of polyadic spaces
Murray G. Bell, W. Marciszewski (2004)
Czechoslovak Mathematical Journal
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We apply the general theory of -Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness . In particular, we prove that polyadic spaces of countable tightness are Uniform Eberlein compact spaces.
A nice class extracted from -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, -stable and -monolithic. It is also established that any Sokolov compact space is Fréchet-Urysohn and the space is Lindelöf. We prove that any Sokolov space with a -diagonal has a countable network and obtain some cardinality restrictions...