Differential forms on diffeological spaces and diffeological gluing, I
arXiv:1605.07328
Abstract
This paper aims to describe the behavior of diffeological differential forms under the operation of gluing of diffeological spaces along a smooth map. In the diffeological context, two ways of looking at diffeological forms are available, that of the vector space of all diffeological forms on a given space, and that of the pseudo-bundle of values of these forms. We describe the behavior of the former under a gluing of diffeological spaces.
Various minor corrections, exposition reorganized for readability, a new section added
References in corpus (5)
- Tangent spaces and tangent bundles for diffeological spaces
- Homological Algebra for Diffeological Vector Spaces
- Linear and multilinear algebra on diffeological vector spaces
- Diffeological gluing of vector pseudo-bundles and pseudo-metrics on them
- Diffeological connections on diffeological vector pseudo-bundles