Baire theorem for ideals of sets
Functional Analysis
2016-03-30 v1
Abstract
We study ideals on satisfying the following Baire-type property: if is a complete metric space and is a family of nowhere dense subsets of with whenever , then . We give several characterizations and determine the ideals having this property among certain classes like analytic ideals and P-ideals. We also discuss similar covering properties when considering families of compact and meager subsets of .
Cite
@article{arxiv.1603.08699,
title = {Baire theorem for ideals of sets},
author = {A. Avilés and V. Kadets and A. Pérez and S. Solecki},
journal= {arXiv preprint arXiv:1603.08699},
year = {2016}
}
Comments
To appear in Journal of Mathematical Analysis and Applications