3 papers
math.DG2001
Differentiability, Convenient Spaces and Smooth Diffeologies
Carlos A. Torre
We review the basic definitions and properties concerning smooth structures, convenient spaces, diffeological spaces and tangent structures. The relation betwen them is described.…
math.DG2001
The definition of a differential form on a tangent structure
Carlos A. Torre
Three definitions of a differential form on a tangent structure are considere. It is proved that the (covariant) definition given by Souriau (as a collection of forms indexed by th…
math.DG1998
A tangent bundle on diffeological spaces
Carlos A. Torre
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 construc…