MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 694

Preprint Number 694

Previous Next Preprint server


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:

Full text arXiv 1402.6513: pdf, ps.


Last updated: March 10 2014 05:37 Please send your corrections to: