Selection principles and covering properties in bitopological spaces

Moiz ud Din Khan

Pakistan

COMSATS University Islamabad

Department of Mathematics

Amani Sabah

Pakistan

COMSATS University Islamabad

Department of Mathematics

Submitted: 2019-08-21

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Accepted: 2019-11-20

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Published: 2020-04-03

DOI: https://doi.org/10.4995/agt.2020.12238
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Keywords:

bitopological space, selection principles, (star) p-Menger bispace, (star) p-Hurewicz bispace

Supporting agencies:

This research was not funded

Abstract:

Our main focus in this paper is to introduce and study various selection principles in bitopological spaces. In particular, Menger type, and Hurewicz type covering properties like: Almost p-Menger, star p-Menger, strongly star p-Menger, weakly p-Hurewicz, almost p-Hurewicz, star p-Hurewicz and strongly star p-Hurewicz spaces are defined and corresponding properties are investigated. Relations between some of these spaces are established.

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