Ideals over ω and cardinal invariants of the continuum

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Journal of Symbolic Logic 63 (3):1040-1054 (1998)
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Abstract

Let P be any one of the following combinatorial properties: weak P-pointness, weak (semi-) Q-pointness, weak (semi-)selectivity, ω-closedness. We deal with the following two questions: (1) What is the least cardinal κ such that there exists an ideal with κ many generators that does not have the property P? (2) Can one extend every ideal with the property P to a prime ideal with the property P?

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10.2307/2586725

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Combinatorics on ideals and forcing.Serge Grigorieff - 1971 - Annals of Mathematical Logic 3 (4):363.

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