Functions on the zeroes of dx

James J. Faran V

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arXiv · math/0408023

Functions on the zeroes of dx

James J. Faran V

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Abstract

In the model of synthetic differential geometry consisting of sheaves (with respect to open covers) over the opposite category of the category of closed finitely generated C-infinity rings, any morphism from S, the zeroes of the "amazing right adjoint" of dx, to the real line R extends to a morphism from R to R. This shows that the De Rham cohomology of the space S is the same as the characteristic cohomology of the ideal generated by dx.

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James J. Faran V. 2004-08-02. Functions on the zeroes of dx. https://arxiv.org/abs/math/0408023

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