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Journal of the American Mathematical Society
ISSN: 1088-6834(e) ISSN: 0894-0347(p)
     

Polish group actions: Dichotomies and generalized elementary embeddings

Author(s): Howard Becker
Journal: J. Amer. Math. Soc. 11 (1998), 397-449.
MSC (1991): Primary 03E15, 22A05, 54H15; Secondary 03C15, 28D15
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Abstract | References | Similar articles | Additional information

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
Email: becker@math.sc.edu

DOI: 10.1090/S0894-0347-98-00258-6
PII: S 0894-0347(98)00258-6
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.
Copyright of article: Copyright 1998, American Mathematical Society


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