A tangent bundle on diffeological spaces

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.

arXiv comment7 pages, Plain TeX

Cited by in corpus (2)

• Differentiability, Convenient Spaces and Smooth Diffeologies
• The definition of a differential form on a tangent structure