<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

On Strong Porosity of Some Families of Functions

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On Strong Porosity of Some Families of Functions"}

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...

On Strong Porosity of Some Families of Functions

Published Online: Nov 16, 2023

Page range: 45 - 56

Received: Oct 10, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0023

Keywords
porosity, function spaces, continuity, 𝒮-approximately continuous functions

© 2023 Jacek Hejduk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On Strong Porosity of Some Families of Functions

Published Online: Nov 16, 2023

Page range: 45 - 56

Received: Oct 10, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0023

Keywordsporosity, function spaces, continuity, 𝒮-approximately continuous functions

© 2023 Jacek Hejduk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
porosity, function spaces, continuity, 𝒮-approximately continuous functions