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Strong meager properties for filters

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Laflamme C.

Fundamenta Mathematicae

1994-1995

tom 146

nr 3

283-293

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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1 Fundamenta Mathematicae

1 Laflamme C.

1 1995

Wyniki wyszukiwania

Strong meager properties for filters