ON δ–β–GENERALIZED CLOSED SETS IN TOPOLOGICAL SPACES

Abstract

The concepts of δ–β–open sets and δ–β–continuous functions have been introduced by Hatir and Noiri [12] and the ideas were further investigated and their properties have been explored in [13]. In the present paper we introduce a new notion of generalized closed sets called δβg–closed sets in topological spaces which is the more general form of generalized δ–closed, δ–generalized–semi–closed, δ generalized preclosed and δ–β–closed sets. Extending this idea to define and study δβg–quotient maps and δβg-regular and δβg–normal spaces, the authors have explored further characterizations of the new concept.

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