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Published 2003 | public
Book Section - Chapter

The homogeneous Banach space problem

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].

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© 2003 Cambridge University Press.

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Created:
August 19, 2023
Modified:
March 5, 2024