Issue:

SSRSMI, Number 2, Volume XXIV

Section:

Volume 24, Number 2

Abstract:

A new class of functions called z-perfectly continuous functions is introduced,

which properly includes the class of pseudo perfectly continuous functions [24] but turns out to be independent of continuity. Besides the study of the basic properties of z-perfectly continuous functions and the interplay with topological properties, sufficient conditions are outlined for their function spaces to be closed, respectively compact, in the topology of pointwise convergence.

Keywords:

(pseudo) perfectly continuous function, z-supercontinuous function, z-continuous function, slightly continuous function, z–partition topology, functionally Hausdorff space, Alexandroff space ( saturated space).

Code [ID]:

SSRSMI201402V24S01A0008 [0004197]

DOI:

Full paper:

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