{ "id": "2301.02063", "version": "v1", "published": "2023-01-05T13:42:16.000Z", "updated": "2023-01-05T13:42:16.000Z", "title": "Linked spaces and exit paths", "authors": [ "Ödül Tetik" ], "categories": [ "math.AT" ], "abstract": "Given a span of $\\infty$-groupoids one of whose legs is a Kan fibration and the other a cofibration, we construct an $\\infty$-category, the exit path $\\infty$-category of the span. This gives access to stratified geometry by means only of unstratified objects.", "revisions": [ { "version": "v1", "updated": "2023-01-05T13:42:16.000Z" } ], "analyses": { "keywords": [ "exit path", "linked spaces", "kan fibration", "cofibration" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }