{ "id": "2409.13921", "version": "v1", "published": "2024-09-20T22:06:20.000Z", "updated": "2024-09-20T22:06:20.000Z", "title": "Classifying the closure of standard orders on $\\mathrm{Homeo}_{+}{(\\mathbb{R})}$", "authors": [ "Kyrylo Muliarchyk" ], "categories": [ "math.GR" ], "abstract": "We characterize a closure of the set of dynamical-lexicographic orders on $\\mathrm{Homeo}_{+}{(\\mathbb{R})}$ and prove the existence of orders outside of it.", "revisions": [ { "version": "v1", "updated": "2024-09-20T22:06:20.000Z" } ], "analyses": { "subjects": [ "05F15", "20F60" ], "keywords": [ "standard orders", "classifying", "dynamical-lexicographic orders" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }