On Strong Porosity of Some Families of Functions

Author:

Hejduk Jacek1,Ivanova Gertruda2,Wiertelak Renata1

Affiliation:

1. 1 Faculty of Mathematics and Computer Science , University of Łódź , Łódź , Poland

2. 2 Institute of Exact Science and Technology , Pomeranian University in Słupsk , Słupsk , Poland

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Earth and Planetary Sciences,General Environmental Science

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