Differentiability, Convenient Spaces and Smooth Diffeologies
Differential Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0112036,
title = {Differentiability, Convenient Spaces and Smooth Diffeologies},
author = {Carlos A. Torre},
journal= {arXiv preprint arXiv:math/0112036},
year = {2007}
}
Comments
2 files, 15 pages total