Canonical measure assignments

Journal of Symbolic Logic 78 (2):403-424 (2013)

Abstract

We work under the assumption of the Axiom of Determinacy and associate a measure to each cardinal $\kappa < \aleph_{\varepsilon_0}$ 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)

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Benedikt Löwe
University of Amsterdam

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