PreprintarXiv licencearXiv
Sequence spaces of Baire-one functions and their porosity
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.
Related
- Lindelöf-type properties of spaces of Baire-one functions
- On properties close to Polish cofinality in spaces of Baire-one and continuous functions
- The differentiation and integration operator on weighted spaces of analytic functions in the weight sequence setting
- Rigidity of symmetric holomorphic functions on infinite-dimensional sequence spaces
- Baire measurable functions and automorphisms of the truth-table degrees
BibTeX
@misc{balcerzak2026sequence,
title = {{Sequence spaces of Baire-one functions and their porosity}},
author = {Marek Balcerzak and Gertruda Ivanova},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.16909},
eprint = {2610.16909},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.16909},
}
RIS
TY - UNPB
TI - Sequence spaces of Baire-one functions and their porosity
AU - Marek Balcerzak
AU - Gertruda Ivanova
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.16909
UR - https://arxiv.org/abs/2610.16909
AB - 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.
ER -