The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition
T. Przymusiński, F. Tall (1974)
Fundamenta Mathematicae
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Displaying similar documents to “On subspaces of separable first countable -spaces”
The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition
Separable extensions of first countable spaces
Eric van Douwen, Teodor Przymusiński (1980)
Fundamenta Mathematicae
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First countable and countable spaces all compactifications of which contain βN
Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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On the extent of star countable spaces
Ofelia Alas, Lucia Junqueira, Jan Mill, Vladimir Tkachuk, Richard Wilson (2011)
Open Mathematics
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For a topological property P, we say that a space X is star Pif for every open cover Uof the space X there exists Y ⊂ X such that St(Y,U) = X and Y has P. We consider star countable and star Lindelöf spaces establishing, among other things, that there exists first countable pseudocompact spaces which are not star Lindelöf. We also describe some classes of spaces in which star countability is equivalent to countable extent and show that a star countable space with a dense σ-compact subspace...
Some set-theoretic consistency results in topology
Tall, F. D.
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On spaces with point-countable -systems
Iwao Yoshioka (2004)
Commentationes Mathematicae Universitatis Carolinae
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This paper deals with the behavior of -spaces, countably bi-quasi--spaces and singly bi-quasi--spaces with point-countable -systems. For example, we show that every -space with a point-countable -system is locally compact paracompact, and every separable singly bi-quasi--space with a point-countable -system has a countable -system. Also, we consider equivalent relations among spaces entried in Table 1 in Michael’s paper [15] when the spaces have point-countable -systems. ...