Axiomatic Differential Geometry III-2

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.

References in corpus (2)

• A much larger class of Frolicher spaces than that of convenient vector spaces may embed into the Cahier topos
• Axiomatic Differential Geometry II-2: Differential Forms

Cited by in corpus (1)

• Weil Diffeology I: Classical Differential Geometry