### Minimal types in the stable Banach spaces

by Shelah and Usvyatsov. [ShUs:1020]

Advances in Math, 2008-09-25

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.

Back to the list of publications