On Some Operators in Anti-Topological Spaces

Abstract

This article introduces some anti-topological operators and provides various examples and results regarding the new operators. Specifically, We introduce the anti-frontier operator and examine essential properties of such concept. Furthermore, we introduce anti-accumulation points and anti-exterior of sets. We also introduce minimal and maximal anti-open sets and their dual. We show that every anti-open and anti-closed set are both minimal and maximal.

Keywords

• Anti-topology
• anti-open
• anti-closed
• anti-frontier
• anti-accumulation