Relative separation axioms via semi-open sets

Sehar Shakeel Raina, A. K. Das

School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India-182320

Abstract: The concept of relative topological properties was introduced by Arhangel'skii and Gennedi and was subsequently investigated by many authors for different notions of general topology. In this paper few semi-separation axioms in relative sense are introduced and studied by utilizing semi-open sets. Characterizations and preservation under mapping of these newly defined notions are provided. Relationship that exists between these notions, with some of the absolute properties and with the existing relative separation axioms are investigated.

Keywords and phrases: semi-open, s-regular, s-normal, relative topological properties, relatively regular, relatively normal.

MSC: 54D15

Received: 21.05.2020

Language: English

DOI: 10.56415/basm.y2023.i2.p11