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A Collapsing Result Using the Axiom of Determinancy and the Theory of Possible Cofinalities

Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Further, we present a streamlined proof that J<λ+(a) (the ideal of sets which force cof Π α < λ) is generated from J<λ+(a) by adding a singleton. Combining these results with a polarized partition relation on ω1

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc2789
Date05 1900
CreatorsMay, Russell J.
ContributorsJackson, Stephen C., Mauldin, R. Daniel, Urbański, Mariusz, Brand, Neal
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Copyright, May, Russell J., Copyright is held by the author, unless otherwise noted. All rights reserved.

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