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Preprint Number 694
694. Saharon Shelah and Alexander Usvyatsov Minimal types in stable Banach spaces E-mail: Submission date: 26 February 2014. Abstract: We prove existence of wide types in a continuous theory expanding a Banach space, and density of minimal wide types among stable types in such a theory. We show that every minimal wide stable type is generically isometric to an l_2 space. We conclude with a proof of the following formulation of Henson's Conjecture: every model of an uncountably categorical theory expanding a Banach space is prime over a spreading model, isometric to the standard basis of a Hilbert space. Mathematics Subject Classification: Keywords and phrases: |
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