Affiliation:
1. School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, India
Abstract
Every topological property can be associated with its relative version in such a way that when smaller space coincides with larger space, then this relative property coincides with the absolute one. This notion of relative topological properties was introduced by Arhangel’skii and Ganedi in 1989. Singal and Arya introduced the concepts of almost regular spaces in 1969 and almost completely regular spaces in 1970. In this paper, we have studied various relative versions of almost regularity, complete regularity, and almost complete regularity. We investigated some of their properties and established relationships of these spaces with each other and with the existing relative properties.
Funder
Department of Science and Technology, Ministry of Science and Technology
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