{ "id": "1704.06121", "version": "v1", "published": "2017-04-20T13:01:42.000Z", "updated": "2017-04-20T13:01:42.000Z", "title": "On the stratification by orbit types II", "authors": [ "Julien Giacomoni" ], "categories": [ "math.DS" ], "abstract": "When we have a proper action of a Lie group on a manifold, it is well known that we get a stratification by orbit types and it is known that this stratification satisfies the Whitney (b) condition. In a previous article we have seen that the stratification satisfies the strong Verdier condition. In this article we improve this result and obtain smooth local triviality.", "revisions": [ { "version": "v1", "updated": "2017-04-20T13:01:42.000Z" } ], "analyses": { "keywords": [ "orbit types", "stratification satisfies", "smooth local triviality", "strong verdier condition", "lie group" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }