On the porosity of Baire class functions

We consider the strong porosity of the family of quasicontinuous and cliquish functions in the space of Baire class functions. We show that the family of Baire functions in $${\mathcal{B}}_{\alpha }$$ -class is strong porous in the family of $${\mathcal{B}}_{\beta }$$ -class for α < β < ω1.

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Journal
Lithuanian Mathematical Journal
Published
2025-09-26
DOI
https://doi.org/10.1007/s10986-025-09692-0
Primary Topic
Functional Equations Stability Results
Type
article
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article

On the porosity of Baire class functions

Jacek Hejduk, Gertruda Ivanova
Lithuanian Mathematical Journal
Functional Equations Stability Results
article

On the porosity of Baire class functions

Jacek Hejduk, Gertruda Ivanova
article en

Abstract

We consider the strong porosity of the family of quasicontinuous and cliquish functions in the space of Baire class functions. We show that the family of Baire functions in $${\mathcal{B}}_{\alpha }$$ -class is strong porous in the family of $${\mathcal{B}}_{\beta }$$ -class for α < β < ω1.

Lithuanian Mathematical JournalVol. 65(4)
University of Łódź (PL)
Openalex Percentile: Top 63%
Functional Equations Stability Results
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On the porosity of Baire class functions — Jacek Hejduk, Gertruda Ivanova · Lithuanian Mathematical Journal (2025) | TGRS Research Map | TGRS