On the complexity of the uniform homeomorphism relation between separable Banach spaces

Gao, Su; Jackson, Steve; Sarı, Bünyamin

doi:10.1090/S0002-9947-2011-05075-0

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

Trans. Amer. Math. Soc. 363 (2011), 3071-3099 Request permission

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.

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