On Strong Porosity of Some Families of Functions

Hejduk, Jacek; Ivanova, Gertruda; Wiertelak, Renata

doi:10.2478/tmmp-2023-0023

Abstract

The paper deals with the strong porosity of some families of real functions continuous with respect to a given topology 𝒯 or 𝒜-continuous (i.e., continuous with respect to some special family 𝒜 of sets of the real line). Particularly, porosity of those families is investigated in space of the Baire 1 functions or in the space of the Baire 1 and Darboux functions.

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On Strong Porosity of Some Families of Functions

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