{ "id": "math/9309203", "version": "v1", "published": "1993-09-08T00:00:00.000Z", "updated": "1993-09-08T00:00:00.000Z", "title": "Ultrafilters: Where topological dynamics = algebra = combinatorics", "authors": [ "Andreas Blass" ], "categories": [ "math.LO" ], "abstract": "We survey some connections between topological dynamics, semigroups of ultrafilters, and combinatorics. As an application, we give a proof, based on ideas of Bergelson and Hindman, of the Hales-Jewett partition theorem.", "revisions": [ { "version": "v1", "updated": "1993-09-08T00:00:00.000Z" } ], "analyses": { "keywords": [ "topological dynamics", "ultrafilters", "combinatorics", "hales-jewett partition theorem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1993math......9203B" } } }