An Extension of the Baire Property
Logic
2021-02-05 v2 General Topology
Group Theory
Abstract
The purpose of this paper is to define for every Polish space a class of sets, the -sets or the extended Baire property sets, to work out many properties of the -sets and to show their usefulness in analysis. For example, a proper generalization of the Pettis Theorem is proved in this context that furnishes a new automatic continuity result for Polish groups. The name extended Baire property sets is reasonable since contains the Baire property sets and it is consistent with ZFC that the containment is proper.
Keywords
Cite
@article{arxiv.1703.08879,
title = {An Extension of the Baire Property},
author = {Christopher Caruvana and Robert R. Kallman},
journal= {arXiv preprint arXiv:1703.08879},
year = {2021}
}