On antichains of spreading models of Banach spaces
Functional Analysis
2019-08-15 v1 Logic
Abstract
We show that for every separable Banach space , either (the set of all spreading models of generated by weakly-null sequences in , modulo equivalence) is countable, or contains an antichain of the size of the continuum. This answers a question of S. J. Dilworth, E. Odell and B. Sari.
Cite
@article{arxiv.0805.2038,
title = {On antichains of spreading models of Banach spaces},
author = {Pandelis Dodos},
journal= {arXiv preprint arXiv:0805.2038},
year = {2019}
}
Comments
14 pages, no figures. Canadian Mathematical Bulletin (to appear)