This is an announcement for the paper "On the axiomatization of convex subsets of Banach spaces" by Valerio Capraro, Tobias Fritz. Abstract: We prove that any convex-like structure in the sense of Nate Brown is affinely and isometrically isomorphic to a closed convex subset of a Banach space. This answers an open question of Brown. As an intermediate step, we identify Brown's algebraic axioms as equivalent to certain well-known axioms of abstract convexity. Archive classification: math.MG math.FA math.OA Mathematics Subject Classification: Primary 52A01, Secondary 46L36 Remarks: 8 pages, 1 figure Submitted from: tobias.fritz@icfo.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1105.1270 or http://arXiv.org/abs/1105.1270