θ-GENERALIZED SEMI-OPEN AND θ-GENERALIZED SEMI-CLOSED FUNCTIONS

Semi-θ-Open Sets and New Classes of Maps

A Note on Θ-generalized Closed Sets

The purpose of this note is to strengthen several results in the literature concerning the preservation of θ-generalized closed sets. Also conditions are established under which images and inverse images of arbitrary sets are θ-generalized closed. In this process several new weak forms of continuous functions and closed functions are developed. 2000 Mathematics Subject Classification. Primary 5...

On Pre-θ-Open Sets and Two Classes of Functions

semi-θ-open sets and new classes of maps

δ-closure, θ-closure and generalized closed sets

We study some new classes of generalized closed sets (in the sense of N. Levine) in a topological space via the associated δ-closure and θ-closure. The relationships among these new classes and existing classes of generalized closed sets are investigated. In the last section we provide an extensive and more or less complete survey on separation axioms characterized via singletons. 2000 AMS Clas...