Selective Version of Star-Semi-Lindelöfness in (<i>a</i>) Topological Spaces-Reference-Cited by-同舟云学术

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

Published:2022-11-01 Issue:1 Volume:81 Page:39-56
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Luthra Sheetal¹,Chauhan Harsh V. S.²,Tyagi Brij K.³

Affiliation:

1. Department of Mathematics , University of Delhi , New Delhi , India

2. Department of Mathematics , Chandigarh University , Mohali , Punjab , India

3. Atma Ram Sanatan Dharma College , University of Delhi , New Delhi , India

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2022-0002

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