{ "id": "1012.4370", "version": "v3", "published": "2010-12-20T15:51:54.000Z", "updated": "2011-03-18T16:03:32.000Z", "title": "On many-sorted $ω$-categorical theories", "authors": [ "Enrique Casanovas", "Rodrigo Peláez", "Martin Ziegler" ], "categories": [ "math.LO" ], "abstract": "We prove that every many-sorted $\\omega$-categorical theory is completely interpretable in a one-sorted $\\omega$-categorical theory. As an application, we give a short proof of the existence of non $G$--compact $\\omega$-categorical theories.", "revisions": [ { "version": "v3", "updated": "2011-03-18T16:03:32.000Z" } ], "analyses": { "subjects": [ "03C35", "03C45" ], "keywords": [ "categorical theory", "short proof" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1012.4370C" } } }