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Absolutely strongly star-Hurewicz spaces

Absolutely strongly star-Hurewicz spaces Abstract A space X is absolutely strongly star-Hurewicz if for each sequence (U n :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (F n :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(F n ; U n ) 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Absolutely strongly star-Hurewicz spaces

Song, Yan-Kui
Open Mathematics , Volume 13 (1) – Jan 1, 2015
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Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2015-0004
Publisher site
See Article on Publisher Site

Abstract

Abstract A space X is absolutely strongly star-Hurewicz if for each sequence (U n :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (F n :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(F n ; U n ) 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.

Journal

Open Mathematics – de Gruyter

Published: Jan 1, 2015

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