{ "id": "1603.03887", "version": "v1", "published": "2016-03-12T10:40:33.000Z", "updated": "2016-03-12T10:40:33.000Z", "title": "Uncountably many planar embeddings of unimodal inverse limit spaces", "authors": [ "Ana Anusic", "Henk Bruin", "Jernej Cinc" ], "categories": [ "math.DS" ], "abstract": "For point $x$ in the inverse limit space $X$ with a single unimodal bonding map we construct, with the use of symbolic dynamics, a planar embedding such that $x$ is accessible. It follows that there are uncountably many non-equivalent planar embeddings of $X$.", "revisions": [ { "version": "v1", "updated": "2016-03-12T10:40:33.000Z" } ], "analyses": { "subjects": [ "37B45", "37E05", "54H20" ], "keywords": [ "unimodal inverse limit spaces", "uncountably", "non-equivalent planar embeddings", "single unimodal bonding map", "symbolic dynamics" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }