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Combinatorial principles in Jense type extender models of the form L[E] Line2

Posted on:2010-05-18Degree:Ph.DType:Dissertation
University:University of California, IrvineCandidate:Kypriotakis, KyriakosFull Text:PDF
GTID:1440390002485611Subject:Mathematics
Abstract/Summary:
We prove that SDkappa(D) is true in L[E] if and only if kappa not subcompact cardinal, and that SD<kappa (D) is true for any inaccessible cardinal. Also we prove that if a non-reflecting stationary subset of kappa+ that concentrates on points of cofinality leass than kappa exists, then □(kappa +) and □*(kappa+, B) are true.
Keywords/Search Tags:Kappa, True
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