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De Rham's theorem in a smooth topos

Published online by Cambridge University Press:  24 October 2008

Ieke Moerdijk  and
Gonzalo E. Reyes
Ieke Moerdijk
Affiliation:
Universiteit van Amsterdam
Gonzalo E. Reyes
Affiliation:
Université de Montréal
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Extract

It has been persuasively argued (e.g. by Lawvere[8]) that the mathematical world picture needed to develop the physics of continuous bodies and fields should involve a cartesian closed category of smooth morphisms between smooth spaces. As far as the foundations of the calculus of variations are concerned, the need for such a category was recognized by K. T. Chen(cf. [2]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 1 , July 1984 , pp. 61 - 71
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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