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arXiv · 1209.6109

Axiomatic Differential Geometry III-2

Hirokazu Nishimura
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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.

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Hirokazu Nishimura. 2012-10-17. Axiomatic Differential Geometry III-2. https://arxiv.org/abs/1209.6109

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