{ "id": "1511.02072", "version": "v1", "published": "2015-11-06T13:31:02.000Z", "updated": "2015-11-06T13:31:02.000Z", "title": "Chain transitive homeomorphisms on a space: all or none", "authors": [ "ethan akin", "juho rautio" ], "categories": [ "math.DS" ], "abstract": "We consider which spaces can be realized as the omega limit set of the discrete time dynamical system. This is equivalent to asking which spaces admit a chain transitive homeomorphism and which do not. This leads us to ask for spaces where all homeomorphisms are chain transitive.", "revisions": [ { "version": "v1", "updated": "2015-11-06T13:31:02.000Z" } ], "analyses": { "keywords": [ "chain transitive homeomorphism", "omega limit set", "discrete time dynamical system", "spaces admit", "equivalent" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151102072A" } } }