Banach spaces of bounded Szlenk index II
D. Freeman, E. Odell, Th. Schlumprecht, A. Zsák (2009)
Fundamenta Mathematicae
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For every α < ω₁ we establish the existence of a separable Banach space whose Szlenk index is and which is universal for all separable Banach spaces whose Szlenk index does not exceed . In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with Tsirelson type upper estimates.