Star-Hurewicz Modulo an Ideal Property In Topological Spaces

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2021-01-28 DOI:10.18311/JIMS/2021/26630

M. Bhardwaj, B. Tyagi, Sumit Singh

引用次数: 1

Abstract

In this paper, a class of star-Hurewicz modulo an ideal spaces is introduced and studied. For an ideal K of finite subsets of N, a characterization of weakly star- K -Hurewicz extremally disconnected spaces is given using ideal. It is shown that star-Hurewicz modulo an ideal property is hereditary under clopen subspaces. In this manner we obtained relationships of star-Hurewicz modulo an ideal property with other existing Hurewicz properties in literature.

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星形Hurewicz模——拓扑空间中的一个理想性质

本文引入并研究了一类星形Hurewicz模理想空间。对于N的有限子集的理想K，利用理想给出了弱星-K-Huerwicz极不连通空间的一个刻画。证明了恒星Hurewicz模a理想性质在clopen子空间下是可遗传的。用这种方法，我们得到了恒星Hurewicz模a理想性质与文献中已有的其他Hurewich性质的关系。

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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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.