Geodesic
Strong meager properties for filters
Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 283-293
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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.
DOI : 10.4064/fm-146-3-283-293
Keywords: filter, meager, Baire property 
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Claude Laflamme. Strong meager properties for filters. Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 283-293. doi: 10.4064/fm-146-3-283-293

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