• ON ρ-CONTINUOUS FUNCTIONS
Abstract
In this paper, we introduce a new class of continuous functions called ρ-continuous functions by utilizing ρ-closed sets. Moreover, we study their properties in topological space. It turns out, among others, the ρ-continuous weaker than perfect continuity and stronger than both gp continuity and πgp-continuity.
Keywords
ρ-closed set, ρ-open set, ρ-continuous function, ρ-compact space, ρ-connected space.
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