This is an announcement for the paper "On antichains of spreading models of Banach spaces" by Pandelis Dodos. 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. Archive classification: math.FA math.LO Mathematics Subject Classification: 03E15, 46B20 Remarks: 14 pages, no figures. Canadian Mathematical Bulletin (to appear) The source file(s), SP-ArXiv.tex: 44752 bytes, is(are) stored in gzipped form as 0805.2038.gz with size 13kb. The corresponding postcript file has gzipped size 96kb. Submitted from: pdodos@math.ntua.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0805.2038 or http://arXiv.org/abs/0805.2038 or by email in unzipped form by transmitting an empty message with subject line uget 0805.2038 or in gzipped form by using subject line get 0805.2038 to: math@arXiv.org.