On antichains of spreading models of Banach spaces
Abstract
We show that for every separable Banach space X, either (X) (the set of all spreading models of X generated by weakly-null sequences in X, modulo equivalence) is countable, or (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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