On a new class of continuity via rare sets

Miguel Caldas; Saeid Jafari

On a new class of continuity via rare sets

Authors

Miguel Caldas Fluminense Federal University
Saeid Jafari Roskilde University

Keywords:

rare set, pre-θ-open, rarely continuous, rarely almost compact

Abstract

The notion of rare continuity was introduced by Popa {15} as a new generalization of weak continuity {7}. In this paper, we introduce a new class of functions called rarely pre- ? -continuous functions as a new generalization of the class of strongly ? -precontinuous functions and investigate some of its fundamental properties.