PP-2006-05: Canonical Measure Assignments

PP-2006-05: Jackson, Steve and Löwe, Benedikt (2006) Canonical Measure Assignments. [Report]

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We work under the assumption of the Axiom of Determinacy and associate a measure to each cardinal below the supremum of the projective ordinals in a recursive definition of a canonical measure assignment. We give algorithmic applications of the existence of such a canonical measure assignment (computation of cofinalities, computation of the Kleinberg sequences associated to the normal ultrafilters on all projective ordinals).

Item Type: Report
Report Nr: PP-2006-05
Series Name: Prepublication (PP) Series
Year: 2006
Uncontrolled Keywords: axiom of determinacy; ultrafilters; ultrapowers; measures; cardinals
Depositing User: Benedikt
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/180

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