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Some applications of coarse inner model theory

Published online by Cambridge University Press:  12 March 2014

Greg Hjorth
Greg Hjorth*
Affiliation:
Department of Mathematics, University of California, Los Angeles, Los Angeles, Ca 90095-1555, USA, E-mail: greg@math.ucla.edu
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Abstract

The Martin-Steel coarse inner model theory is employed in obtaining new results in descriptive set theory. determinacy implies that for every thin equivalence relation there is a real, N, over which every equivalence class is generic—and hence there is a good (N#) wellordering of the equivalence classes. Analogous results are obtained for and quasilinear orderings and determinacy is shown to imply that every prewellorder has rank less than .

Keywords

Inner model theorylarge cardinalsequivalence relations
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 62 , Issue 2 , June 1997 , pp. 337 - 365
Copyright
Copyright © Association for Symbolic Logic 1997

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