Functions on the zeroes of dx

Details Functions on the zeroes of dx Functions on the zeroes of dx

2004-08-02

arxiv.org/abs/math/0408023v1

Mathematics

Category Theory

24 pages, submitted to The Journal of Pure and Applied Algebra

Scientific paper

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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