Volume 28 • Number 2 • 2005
• Rare α-Continuity
Saeid Jafari
Abstract. Popa [16] introduced the notion of rare continuity. In this paper, we introduce a new class of functions called rare α-continuous functions and investigate some of its fundamental properties. These functions are generalizations of both rare continuous and weak α-continuous functions [14].

2000 Mathematics Subject Classification: 54B05, 54C08; Secondary: 54D05.

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