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On a new weaker form of Popa’s rare continuity via \(\lambda\)-open sets. (English. Arabic summary) Zbl 1207.54026

Summary: In 1979, Popa introduced the notion of rare continuity as a generalization of weak continuity. The objective of this paper is to introduce a new generalization of rare continuity called rare l-continuity and investigate some of its fundamental properties.

MSC:

54C08 Weak and generalized continuity
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54D05 Connected and locally connected spaces (general aspects)