Differentiability, Convenient Spaces and Smooth Diffeologies
arXiv:math/0112036
Abstract
We review the basic definitions and properties concerning smooth structures, convenient spaces, diffeological spaces and tangent structures. The relation betwen them is described. A tangent structure is constructed for each pre-convenient space. This one is proved to be convenient iff the space and the tangent fibres coincide. Some basic comments on the relation with manifolds are given.
2 files, 15 pages total