(a)拓扑空间中Star-Semi-Lindelöfness的选择版本

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2022-11-01 DOI:10.2478/tmmp-2022-0002

Sheetal Luthra, Harsh V. S. Chauhan, B. Tyagi

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引用次数: 0

摘要

本文研究(a)拓扑空间中的(a)R-star-semi-Lindelöf和(a)M-star-semi-Lindelöf性质。这些性质很有趣，因为每个(a) rs可分空间都是(a)R-star-semi-Lindelöf，每个(a)s-semi-Lindelöf空间都是(a)R-star-semi-Lindelöf，但不是每个(a)R-star-semi-Lindelöf空间都是(a) rs可分或(a)s-semi-Lindelöf。证明了如果一个(a)拓扑空间X是可数多个(a)-开子空间和(a)Rstar-semi-Lindelöf子空间的并，则X是(a)R-star-semi-Lindelöf。在(a)M-star-semi-Lindelöf空间中也得到了类似的结果。进一步给出了适当的和必要的反例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Selective Version of Star-Semi-Lindelöfness in (a) Topological Spaces

Abstract In this paper, we deal with the properties (a)R-star-semi-Lindelöf and (a)M-star-semi-Lindelöf in (a)topological spaces. These properties are interesting as every (a)Rs-separable space is (a)R-star-semi-Lindelöf and every (a)s-semi-Lindelöf space is (a)R-star-semi-Lindelöf but not every (a)R-star-semi-Lindelöf space is (a)Rs-separable or (a)s-semi-Lindelöf. It is shown that if an (a)topological space X is the union of countably many (a)-open and (a)Rstar-semi-Lindelöf subspaces, then X is (a)R-star-semi-Lindelöf. Similar results are obtained in the context of (a)M-star-semi-Lindelöf spaces. Further, suitable and required counterexamples are given.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

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0.00%

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