g(1,2)*- DENSE SETS AND g(1,2)*- SUBMAXIMAL ...

g(1,2)*- DENSE SETS AND g(1,2)*- SUBMAXIMAL SPACES IN TOPOLOGICAL SPACES

Author Name : E. Dulcy Jeba Mary, Sujatha Sarathi, T. Pon Selva Kohila

ABSTRACT

A topological space X is said to be submaximal if every dense subset of X is open. In this paper we study generalized closed sets in the sense of N. Levine. We will consider the question of when some classes of generalized closed sets coincide. Also, some lower separation axioms weaker than T1 are investigated. We will provide characterizations of (1,2)*-dense sets and (1,2)*-submaximal spaces by using various kinds of generalized closed sets.

Keywords: Bitopological spaces, closed set, Dense set and Submaximal spaces.