{ "id": "1010.1156", "version": "v2", "published": "2010-10-06T14:01:01.000Z", "updated": "2010-11-20T12:46:12.000Z", "title": "Iterates of mappings which are almost continuous and open", "authors": [ "Chris Preston" ], "comment": "19 pages", "categories": [ "math.DS" ], "abstract": "This note presents an approach to studying the iterates of a mapping whose restriction to the complement of a finite set is continuous and open. The main examples to which the approach can be applied are piecewise monotone mappings defined on an interval or a finite graph.", "revisions": [ { "version": "v2", "updated": "2010-11-20T12:46:12.000Z" } ], "analyses": { "keywords": [ "continuous", "finite graph", "main examples", "finite set", "restriction" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1010.1156P" } } }