BINARY SEMI-LOCALLY CLOSED SETS IN BINARY TOPOLOGICAL SPACES

Abstract

In this paper, we introduce new weaker forms of locally closed sets called binary semi-locally closed, binary locally semi-closed sets, and binary generalized locally semi-closed sets and study their relations with the existing ones. We also try to establish the conditions under which these weaker forms coincide with one another. Further it is established that in a particular space, all the weaker forms of binary locally closed sets coincide with P(X,Y), the power set of (X,Y).