SOME ASPECTS of $s \lambda $-Closed Sets on Separation Axioms And Compactness in GT-spaces

TL;DR

This paper explores the properties of $s ext{-}\lambda$-closed sets within certain separation axioms and their relation to compactness in generalized topological spaces, expanding understanding of these concepts.

Contribution

It introduces new insights into $s ext{-}\lambda$-closed sets and their behavior under specific separation axioms and compactness in GT-spaces.

Findings

Characterization of $s ext{-}\lambda$-closed sets under $s T_{2rac{1}{2}}$ and $s T_{3rac{1}{2}}$ axioms

Relationships between $s ext{-}\lambda$-closed sets and compactness in GT-spaces

Extended the theory of separation axioms in generalized topological spaces

Abstract

Here we have investigated some aspects of $s\lambda$-closed sets on separation axioms including $s T_{2\frac{1}{2}} $ and $s T_{3\frac{1}{2}} $ axioms and on compactness in generalized topological spaces