Sh:1020

• Shelah, S., & Usvyatsov, A. (2019). Minimal stable types in Banach spaces. Adv. Math., 355, 106738, 29. arXiv: 1402.6513 DOI: 10.1016/j.aim.2019.106738 MR: 3994442
• 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)

@article{Sh:1020,
 author = {Shelah, Saharon and Usvyatsov, Alexander},
 title = {{Minimal stable types in Banach spaces}},
 journal = {Adv. Math.},
 fjournal = {Advances in Mathematics},
 volume = {355},
 year = {2019},
 pages = {106738, 29},
 issn = {0001-8708},
 mrnumber = {3994442},
 mrclass = {03C45 (46B20)},
 doi = {10.1016/j.aim.2019.106738},
 note = {\href{https://arxiv.org/abs/1402.6513}{arXiv: 1402.6513}},
 arxiv_number = {1402.6513}
}