A study on different types of quasi omega-closed sets in Bitopological Spaces

Abstract

In this paper, we  explore a new classes of sets within the context of bitopological spaces, specifically focusing on minimal quasi-$\omega$-closed sets, maximal quasi-$\omega$-open sets, quasi-$\omega$-paraopen sets, quasi-$\omega$-paraclosed sets, quasi-$\omega$-mean open sets, and quasi-$\omega$-mean closed sets. These newly defined set types aim to extend the theoretical landscape of bitopology by providing fresh perspectives on the structural behavior and interactions of sets. The paper offers comprehensive descriptions, examines their distinctive features, and investigates how these sets relate to one another within the bitopological framework.