Some descriptive set-theoretic properties of the isomorphism relation between Banach spaces
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- by Andrzej Komisarski
- Proc. Amer. Math. Soc. 129 (2001), 3085-3090
- DOI: https://doi.org/10.1090/S0002-9939-01-05925-1
- Published electronically: April 2, 2001
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Abstract:
Consider the space $\mathcal {V} (E)$ of closed linear subspaces of a separable Banach space $E$ equipped with the standard Effros Borel structure. The isomorphism relation between Banach spaces being elements of $\mathcal {V}(E)$ determines a partition of $\mathcal {V}(E)$. In this note we prove a result describing the complexity of analytic subsets of $\mathcal {V}(E)$ intersecting a large enough number of the above-mentioned parts of $\mathcal {V}(E)$.References
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Bibliographic Information
- Andrzej Komisarski
- Affiliation: Department of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warsaw, Poland
- Email: andkom@mimuw.edu.pl
- Received by editor(s): July 28, 1999
- Received by editor(s) in revised form: March 5, 2000
- Published electronically: April 2, 2001
- Communicated by: Alan Dow
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3085-3090
- MSC (2000): Primary 03E15; Secondary 46B03
- DOI: https://doi.org/10.1090/S0002-9939-01-05925-1
- MathSciNet review: 1840115