{ "id": "math/9801046", "version": "v1", "published": "1998-01-11T00:19:34.000Z", "updated": "1998-01-11T00:19:34.000Z", "title": "A tangent bundle on diffeological spaces", "authors": [ "Carlos A. Torre" ], "comment": "7 pages, Plain TeX", "categories": [ "math.DG" ], "abstract": "We define a subcategory of the category of diffeological spaces, which contains smooth manifolds, the diffeomorphism subgroups and its coadjoint orbits. In these spaces we construct a tangent bundle, vector fields and a de Rham cohomology.", "revisions": [ { "version": "v1", "updated": "1998-01-11T00:19:34.000Z" } ], "analyses": { "subjects": [ "57R55", "58B10" ], "keywords": [ "tangent bundle", "diffeological spaces", "contains smooth manifolds", "diffeomorphism subgroups", "coadjoint orbits" ], "note": { "typesetting": "Plain TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......1046T" } } }