$s\beta_\lambda $-Closed sets and some low separation axioms in GT-spaces

TL;DR

This paper explores new types of closed sets and low separation axioms in generalized topological spaces, analyzing their properties and interrelations to deepen understanding of space separation properties.

Contribution

It introduces and studies $ seta_ ext{lambda} $-closed sets and examines their properties alongside low separation axioms in GT-spaces, expanding the theoretical framework.

Findings

Characterization of $ seta_ ext{lambda} $-closed sets

Relationships among low separation axioms

Properties of $ s ext{lambda} T_{1/4} $, $ s ext{lambda} T_{3/8} $, and $ s ext{lambda} T_{1/2} $

Abstract

Here we have studied the ideas of $ sg_\lambda,s\lambda$ and $ s\beta_\lambda $-closed sets and investigated some of their properties in generalized topological spaces. We have also studied some low separation axioms namely $ s\lambda T_\frac{1}{4} $, $ s\lambda T_\frac{3}{8} $, $ s\lambda T_\frac{1}{2} $ axioms and their mutual relations with $ s\lambda T_0 $ and $s\lambda T_1 $ axioms.