Journal of the American Mathematical Society

ISSN 1088-6834(online) ISSN 0894-0347(print)



Polish group actions: Dichotomies
and generalized elementary embeddings

Author: Howard Becker
Journal: J. Amer. Math. Soc. 11 (1998), 397-449
MSC (1991): Primary 03E15, 22A05, 54H15; Secondary 03C15, 28D15
MathSciNet review: 1478843
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Abstract: We prove that any Polish group which admits a complete left-invariant metric satisfies the Topological Vaught Conjecture. We also generalize some theorems of model theory from the logic actions to other Polish group actions.

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Additional Information

Howard Becker
Affiliation: Department of Mathematics, The University of South Carolina, Columbia, South Carolina 29208

Received by editor(s): April 14, 1997
Received by editor(s) in revised form: November 7, 1997
Additional Notes: The author’s research was partially supported by NSF Grant DMS-9505505.
Article copyright: © Copyright 1998 American Mathematical Society