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arXiv · 0805.2038

On antichains of spreading models of Banach spaces

Pandelis Dodos
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Abstract

We show that for every separable Banach space $X$, either $\spw(X)$ (the set of all spreading models of $X$ generated by weakly-null sequences in $X$, modulo equivalence) is countable, or $\spw(X)$ 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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Pandelis Dodos. 2008-05-14. On antichains of spreading models of Banach spaces. https://doi.org/10.4153/cmb-2010-011-1

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