On the complexity of the uniform homeomorphism relation between separable Banach spaces
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- by Su Gao, Steve Jackson and Bünyamin Sarı PDF
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Abstract:
We investigate the uniform homeomorphism relation between separable Banach spaces and the related relation of local equivalence. We completely characterize the descriptive complexity of local equivalence in the Borel reducibility hierarchy. This also provides a lower bound for the complexity of the uniform homeomorphism.References
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Additional Information
- Su Gao
- Affiliation: Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas 76203-5017
- MR Author ID: 347662
- Email: sgao@unt.edu
- Steve Jackson
- Affiliation: Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas 76203-5017
- MR Author ID: 255886
- ORCID: 0000-0002-2399-0129
- Email: jackson@unt.edu
- Bünyamin Sarı
- Affiliation: Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas 76203-5017
- MR Author ID: 741208
- Email: bunyamin@unt.edu
- Received by editor(s): January 27, 2009
- Received by editor(s) in revised form: April 10, 2009
- Published electronically: January 27, 2011
- Additional Notes: The first author acknowledges the partial support of the NSF grant DMS-0501039 and a Templeton Foundation research grant for his research.
The third author acknowledges an NSF funded Young Investigator Award of the Analysis and Probability workshop at the Texas A&M University in 2008. - © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 3071-3099
- MSC (2010): Primary 46B80, 54H05; Secondary 46B07, 03E75
- DOI: https://doi.org/10.1090/S0002-9947-2011-05075-0
- MathSciNet review: 2775799