On Rarely ??-Continuous Functions

Miguel Caldas

On Rarely ??-Continuous Functions

Authors

Miguel Caldas Fluminense Federal University

Keywords:

Rare set, β-θ-open, rarely continuous, rarely almost compact

Abstract

Popa [13] introduced the notion of rare continuity. In the same spirit, we introduce a new class of functions called rarely ??-continuous functions by utilizing the notion of ?-?-open sets. We also investigate some of its fundamental properties. This type of continuity is stronger that rare ?-continuity [9].