{ "id": "1404.1127", "version": "v1", "published": "2014-04-04T01:45:54.000Z", "updated": "2014-04-04T01:45:54.000Z", "title": "Long exact sequences for de Rham cohomology of diffeological spaces", "authors": [ "Tadayuki Haraguchi" ], "comment": "12 pages", "categories": [ "math.AT" ], "abstract": "In this paper we present the notion of de Rham cohomology with compact support for diffeological spaces. Moreover we shall discuss the existence of three long exact sequences. As a concrete example, we show that long exact sequences exist for the de Rham cohomology of diffeological subcartesian spaces.", "revisions": [ { "version": "v1", "updated": "2014-04-04T01:45:54.000Z" } ], "analyses": { "keywords": [ "long exact sequences", "rham cohomology", "diffeological spaces", "diffeological subcartesian spaces", "concrete example" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1404.1127H" } } }