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Minimal types in stable Banach spaces

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 نشر من قبل Alexander Usvyatsov
 تاريخ النشر 2014
  مجال البحث
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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 Hensons 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.



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