Abstract
In this paper we show that the typical symmetrically continuous function and the typical symmetric function have \(c\)-dense sets of points of discontinuity. Also we show the existence of a nowhere symmetrically differentiable function and a nowhere quasi-smooth function by showing directly such functions are typical in the space of all real continuous functions.
Citation
Hongjian Shi. "Some typical properties of symmetrically continuous functions, symmetric functions and continuous functions." Real Anal. Exchange 21 (2) 708 - 714, 1995/1996.
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