Abstract

AbstractWe show that for every separable Banach spaceX, either SPw(X) (the set of all spreading models ofXgenerated by weakly-null sequences inX, 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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