This is an announcement for the paper "On strongly asymptotic $\ell_p$ spaces and minimality" by S. J. Dilworth, V. Ferenczi, Denka Kutzarova and E. Odell. Abstract: We study Banach spaces X with a strongly asymptotic l_p basis (any disjointly supported finite set of vectors far enough out with respect to the basis behaves like l_p) which are minimal (X embeds into every infinite dimensional subspace). In particular such spaces embed into l_p. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 46B45 Remarks: 12 pages, AMSLaTeX The source file(s), dfko010206-archive.tex: 46987 bytes, is(are) stored in gzipped form as 0608550.gz with size 15kb. The corresponding postcript file has gzipped size 71kb. Submitted from: combs@mail.ma.utexas.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0608550 or http://arXiv.org/abs/math.FA/0608550 or by email in unzipped form by transmitting an empty message with subject line uget 0608550 or in gzipped form by using subject line get 0608550 to: math@arXiv.org.