Absolutely strongly star-Hurewicz spaces
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 relationshi...
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De Gruyter
2015-01-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2015-0004 |
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doaj-d7ab6abec0944723a82e8efab89647c22021-09-06T19:20:07ZengDe GruyterOpen Mathematics2391-54552015-01-0113110.1515/math-2015-0004math-2015-0004Absolutely strongly star-Hurewicz spacesSong Yan-Kui0Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, P.R. ChinaA 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.https://doi.org/10.1515/math-2015-0004selection principlesstarcompactaccstrongly star-mengerabsolutely strongly star-mengerstrongly star-hurewiczabsolutely strongly star-hurewiczalexandroff duplicate |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Song Yan-Kui |
| spellingShingle |
Song Yan-Kui Absolutely strongly star-Hurewicz spaces Open Mathematics selection principles starcompact acc strongly star-menger absolutely strongly star-menger strongly star-hurewicz absolutely strongly star-hurewicz alexandroff duplicate |
| author_facet |
Song Yan-Kui |
| author_sort |
Song Yan-Kui |
| title |
Absolutely strongly star-Hurewicz spaces |
| title_short |
Absolutely strongly star-Hurewicz spaces |
| title_full |
Absolutely strongly star-Hurewicz spaces |
| title_fullStr |
Absolutely strongly star-Hurewicz spaces |
| title_full_unstemmed |
Absolutely strongly star-Hurewicz spaces |
| title_sort |
absolutely strongly star-hurewicz spaces |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2015-01-01 |
| description |
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. |
| topic |
selection principles starcompact acc strongly star-menger absolutely strongly star-menger strongly star-hurewicz absolutely strongly star-hurewicz alexandroff duplicate |
| url |
https://doi.org/10.1515/math-2015-0004 |
| work_keys_str_mv |
AT songyankui absolutelystronglystarhurewiczspaces |
| _version_ |
1717777335807115264 |