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arXiv · 2610.16909

Sequence spaces of Baire-one functions and their porosity

Marek Balcerzak·Gertruda Ivanova
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Abstract

We consider several families of sequences of Baire-one self-maps of $[0,1]$ investigated by A. Alikhani-Koopaei. They form a chain of inclusions where each space is closed and nowhere dense in the next one. We prove that each space is lower $2/3$-porous in the next one. If one modifies these families where sequences of Baire-one functions are real-valued uniformly bounded, then they are Banach spaces and each space of the respective chain is c-porous in the next one.

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Marek Balcerzak, Gertruda Ivanova. 2026-10-12. Sequence spaces of Baire-one functions and their porosity. https://arxiv.org/abs/2610.16909

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