# Sh:1020

• Shelah, S., & Usvyatsov, A. (2019). Minimal stable types in Banach spaces. Adv. Math., 355, 106738, 29.
• 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 \ell_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.
• published version (29p)
Bib entry
@article{Sh:1020,
author = {Shelah, Saharon and Usvyatsov, Alexander},
title = {{Minimal stable types in Banach spaces}},
}