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Search: MSC category 03E15 ( Descriptive set theory [See also 28A05, 54H05] )

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1. CMB 2009 (vol 53 pp. 64)

Dodos, Pandelis
On Antichains of Spreading Models of Banach Spaces
We show that for every separable Banach space $X$, either $\mathrm{SP_w}(X)$ (the set of all spreading models of $X$ generated by weakly-null sequences in $X$, modulo equivalence) is countable, or $\mathrm{SP_w}(X)$ contains an antichain of the size of the continuum. This answers a question of S.~J. Dilworth, E. Odell, and B. Sari.

Categories:46B20, 03E15

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