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arXiv · 1402.6513

Minimal types in stable Banach spaces

Saharon Shelah·Alexander Usvyatsov
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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.

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Saharon Shelah, Alexander Usvyatsov. 2014-02-26. Minimal types in stable Banach spaces. https://doi.org/10.1016/j.aim.2019.106738

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