PreprintCC BY 4.0HAL
A baby Baire property
Abstract
Motivated by applications in diffeology, we observe: If finitely many closed or locally closed sets cover a topological space, then their interiors have dense union. The space is Baire iff this remains true with "finitely" replaced by "countably".
Related
- Baire 1 functions and the strong Choquet property
- On various notions of universally Baire sets and reflection of non-Baire property in Cantor sets
- Tauberian rates and the Baire property of ideals
- Baire measurable functions and automorphisms of the truth-table degrees
- Sequence spaces of Baire-one functions and their porosity
BibTeX
@misc{watts2026baby,
title = {{A baby Baire property}},
author = {Jordan Watts and François Ziegler},
howpublished = {HAL},
year = {2026},
month = oct,
url = {https://hal.science/hal-05841422v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A baby Baire property
AU - Jordan Watts
AU - François Ziegler
PY - 2026
DA - 2026/10/10
PB - HAL
UR - https://hal.science/hal-05841422v1
AB - Motivated by applications in diffeology, we observe: If finitely many closed or locally closed sets cover a topological space, then their interiors have dense union. The space is Baire iff this remains true with "finitely" replaced by "countably".
ER -