{ "id": "1909.03136", "version": "v1", "published": "2019-09-06T21:54:44.000Z", "updated": "2019-09-06T21:54:44.000Z", "title": "Group topologies on automorphism groups of homogeneous structures", "authors": [ "Zaniar Ghadernezhad", "Javier de la Nuez González" ], "comment": "35 pages", "categories": [ "math.LO", "math.GN" ], "abstract": "We classify all group topologies coarser than the topology of stabilizers of finite sets in the case of automorphism groups of countable free-homogeneous structures, Urysohn space and Urysohn sphere, among other related results.", "revisions": [ { "version": "v1", "updated": "2019-09-06T21:54:44.000Z" } ], "analyses": { "keywords": [ "automorphism groups", "group topologies coarser", "urysohn sphere", "finite sets", "urysohn space" ], "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable" } } }