Henson, C. Ward and Iovino, José and Kechris, Alexander S. and Odell, Edward (2003) The homogeneous Banach space problem. In: Analysis and Logic. London Mathematical Society Lecture Note Series. No.262. Cambridge University Press , Cambridge, pp. 252-253. ISBN 9781107360006. https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145154
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Abstract
We cannot end before at least briefly discussing one other spectacular result of the 90's. We recall that the homogeneous Banach space problem (P5) is: If X is isomorphic to all Y ⊆ X, is X isomorphic to l2? This was solved by combining two beautiful pieces of work, Gowers' dichotomy theorem (Theorem 3.1) and the following theorem of Komorowski and Tomczak-Jaegermann [KT1, KT2]. A nice exposition somewhat simplifying the argument appears in [TJ1].
| Item Type: | Book Section | ||||||
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| Additional Information: | © 2003 Cambridge University Press. | ||||||
| Series Name: | London Mathematical Society Lecture Note Series | ||||||
| Issue or Number: | 262 | ||||||
| Record Number: | CaltechAUTHORS:20180816-160145154 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145154 | ||||||
| Official Citation: | Henson, C., Iovino, J., Kechris, A., & Odell, E. (2003). The homogeneous Banach space problem. In C. Finet & C. Michaux (Eds.), Analysis and Logic (London Mathematical Society Lecture Note Series, pp. 252-253). Cambridge: Cambridge University Press. doi:10.1017/CBO9781107360006.038 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 88878 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 16 Aug 2018 23:24 | ||||||
| Last Modified: | 03 Oct 2019 20:11 |
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