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 “Some set-theoretic consistency results in topology”
The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition
First countable and countable spaces all compactifications of which contain βN
Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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Separable extensions of first countable spaces
Eric van Douwen, Teodor Przymusiński (1980)
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...
On subspaces of separable first countable -spaces
G. Reed (1976)
Fundamenta Mathematicae
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A lattice of conditions on topological spaces II
P. Moody, G. Reed, A. Roscoe, P. Collins (1991)
Fundamenta Mathematicae
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Compact-calibres of regular and monotonically normal spaces.
McIntyre, David W. (2002)
International Journal of Mathematics and Mathematical Sciences
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The one-point Lindelöfication of an uncountable discrete space can be surlindelöf
Oleg Okunev (2013)
Open Mathematics
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We prove that the one-point Lindelöfication of a discrete space of cardinality ω 1 is homeomorphic to a subspace of C p (X) for some hereditarily Lindelöf space X if the axiom [...] holds.
Closed discrete subsets of separable spaces and relative versions of normality, countable paracompactness and property
Samuel Gomes da Silva (2011)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we show that a separable space cannot include closed discrete subsets which have the cardinality of the continuum and satisfy relative versions of any of the following topological properties: normality, countable paracompactness and property . It follows that it is consistent that closed discrete subsets of a separable space which are also relatively normal (relatively countably paracompact, relatively ) in are necessarily countable. There are, however, consistent...