Axiomatic Differential Geometry III-2
Differential Geometry
2012-10-18 v3
Abstract
Given a complete and (locally) cartesian closed category U, it is shown that the category of functors from the category of Weil algebras to the category U is (locally, resp.) cartesian closed. The corresponding axiomatization for differential geometry based upon Weil functors is then given.
Cite
@article{arxiv.1209.6109,
title = {Axiomatic Differential Geometry III-2},
author = {Hirokazu Nishimura},
journal= {arXiv preprint arXiv:1209.6109},
year = {2012}
}