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On Antichains of Spreading Models of Banach Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
We show that for every separable Banach space $X$, either
$\text{S}{{\text{P}}_{w}}\left( X \right)$ (the set of all spreading models of
$X$ generated by weakly-null sequences in
$X$, modulo equivalence) is countable, or
$\text{S}{{\text{P}}_{w}}\left( X \right)$ contains an antichain of the size of the continuum. This answers a question of S. J. Dilworth, E. Odell, and B. Sari.
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- Copyright © Canadian Mathematical Society 2010
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