SOME FUNCTIONS DEFINED BY -CLOSED SET

Abstract

n [16] present authors introduced and studied a new class of generalized closed sets called -closed sets, -open sets, -continuous and -irresolute functions in topological spaces. In this paper we introduce and investigate new class of open and closed functions called -open and -closed functions by using -open and -closed sets and explore their fundamental properties. The concept of -closed graph, strongly -closed graph and some weak separation axioms are also extend by using the notion of -open sets.
2010 Mathematics Subject: Classification. Primary: 54A05, 54C05, 54C08; Secondary: 54C10, 54D10, 54C99.