On Strong Porosity of Some Families of Functions

Jacek Hejduk; Gertruda Ivanova; Renata Wiertelak

doi:10.2478/tmmp-2023-0023

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On Strong Porosity of Some Families of Functions

Tatra Mountains Mathematical Publications

Volume 85 (2023): Issue 3 (November 2023)

By: Jacek Hejduk, Gertruda Ivanova and Renata Wiertelak

Open Access

|Nov 2023

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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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2023-0023 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 45 - 56

Submitted on: Oct 10, 2022

Published on: Nov 16, 2023

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

porosity,

function spaces,

continuity,

𝒮-approximately continuous functions

Related subjects:

Mathematics,

General mathematics

© 2023 Jacek Hejduk, Gertruda Ivanova, Renata Wiertelak, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 85 (2023): Issue 3 (November 2023)