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

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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

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May, Russell J. May 2001.

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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

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  • May 2001

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  • Sept. 25, 2007, 9:27 p.m.

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  • Jan. 14, 2014, 4:06 p.m.

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Thumbnail image of item number 1 in: 'A Collapsing Result Using the Axiom of Determinancy and the Theory of Possible Cofinalities'.
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May, Russell J. A Collapsing Result Using the Axiom of Determinancy and the Theory of Possible Cofinalities, dissertation, May 2001; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc2789/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .

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