Glasnik Matematicki, Vol. 40, No.2 (2005), 317-322.

ON RARELY g-CONTINUOS FUNCTIONS

Miguel Caldas and Saeid Jafari

College of Vestsjaelland Syd, Herrestraede 11, 4200 Slagelse, Denmark
e-mail: jafari@stofanet.dk

Abstract.   Popa introduced the notion of rare continuity. In this paper, we introduce a new class of functions called rarely g-continuous functions and investigate some of its fundamental properties. This type of continuity is a generalization of both rare continuity and weak continuity.

2000 Mathematics Subject Classification.   54B05, 54C08, 54D05.

Key words and phrases.   Rare set, g-open, rarely continuous, rarely almost compact.

DOI: 10.3336/gm.40.2.11

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