Strong meager properties for filters
Logic
2009-09-25 v1
Abstract
We analyze several ``strong meager'' properties for filters on the natural numbers between the classical Baire property and a filter being . Two such properties have been studied by Talagrand and a few more combinatorial ones are investigated. In particular, we define the notion of a P-filter, a generalization of the traditional concept of P-filter, and prove the existence of a non-meager P-filter. Our motivation lies in understanding the structure of filters generated by complements of members of a maximal almost disjoint family.
Keywords
Cite
@article{arxiv.math/9312204,
title = {Strong meager properties for filters},
author = {Claude Laflamme},
journal= {arXiv preprint arXiv:math/9312204},
year = {2009}
}