On relative -starLindelöfness.
Song, Yankui, Han, Guangfa, Li, Piyu (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Displaying similar documents to “Relatively absolutely countably compact spaces.”
On relative -starLindelöfness.
Tychonoff spaces that have a compactification with countable remainder
Henriksen, Melvin
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Vietoris topology on spaces dominated by second countable ones
Carlos Islas, Daniel Jardon (2015)
Open Mathematics
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For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = FK : K ∈ C(M) ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂ FL for any K;L ∈ C(M). A space X is strongly dominated by a space M if there exists an M-ordered compact cover F such that for any compact K ⊂ X there is F ∈ F such that K ⊂ F . Let K(X) D C(X){Øbe the set of all nonempty compact subsets...
A Property Between Compact and Strongly Countably Compact
Dušan Milovančević (1985)
Publications de l'Institut Mathématique
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Absolutely strongly star-Hurewicz spaces
Yan-Kui Song (2015)
Open Mathematics
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A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.
A countably compact, separable space which is not absolutely countably compact
Jerry E. Vaughan (1995)
Commentationes Mathematicae Universitatis Carolinae
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We construct a space having the properties in the title, and with the same technique, a countably compact topological group which is not absolutely countably compact.