2008 seminar talk: Combinatorics related to the P-ideal dichotomy

Talk held by Heike Mildenberger (KGRC) at the KGRC seminar on 2008-04-10.

Abstract

Lyubomyr Zdomskyy showed: Under the P-ideal dichotomy for ideals with aleph_1 generators together with some more relatively mild conditions, certain stronger forms of L-spaces do not exist. In order to see how this is related to work by Kunen and by Szentmikl\'{o}ssy, we investigate whether Martin's Axiom for aleph_1 dense sets necessarily holds in these models.

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Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.