This is an announcement for the paper "Lattice structures and spreading models" by S. J. Dilworth, E. Odell and B. Sari. Abstract: We consider problems concerning the partial order structure of the set of spreading models of Banach spaces. We construct examples of spaces showing that the possible structure of these sets include certain classes of finite semi-lattices and countable lattices, and all finite lattices. Archive classification: Functional Analysis The source file(s), dos.tex: 60915 bytes, is(are) stored in gzipped form as 0508650.gz with size 19kb. The corresponding postcript file has gzipped size 88kb. Submitted from: bunyamin@unt.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508650 or http://arXiv.org/abs/math.FA/0508650 or by email in unzipped form by transmitting an empty message with subject line uget 0508650 or in gzipped form by using subject line get 0508650 to: math@arXiv.org.