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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:
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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