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Homogeneously Suslin sets in tame mice

Published online by Cambridge University Press:  12 March 2014

Farmer Schlutzenberg
Farmer Schlutzenberg*
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76201, USA, E-mail: [email protected]
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Abstract

This paper studies homogeneously Suslin (hom) sets of reals in tame mice. The following results are established: In 0 the hom sets are precisely the sets. In Mn every hom set is correctly , and (δ + 1)-universally Baire where δ is the least Woodin. In Mω, every hom set is <λ-hom, where λ is the supremum of the Woodins.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 4 , December 2012 , pp. 1122 - 1146
Copyright
Copyright © Association for Symbolic Logic 2012

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