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. Full text: PDF