Strong meager properties for filters

Claude Laflamme

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arXiv · math/9312204

Strong meager properties for filters

Claude Laflamme

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Abstract

We analyze several ``strong meager'' properties for filters on the natural numbers between the classical Baire property and a filter being $F_σ$. 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.

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BibTeX RIS

Claude Laflamme. 1993-12-14. Strong meager properties for filters. https://arxiv.org/abs/math/9312204

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