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arxiv: 1310.7407 · v1 · pith:KU5KOORHnew · submitted 2013-10-28 · 🧮 math.DG · math.CT· math.LO

Cosimplicial C-infinity rings and the de Rham complex of Euclidean space

Herman Stel This is my paper
classification 🧮 math.DG math.CTmath.LO
keywords c-infinitycosimplicialringcomplexeuclideann-aryrhamspace
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A C-infinity ring is a set equipped with n-ary operations corresponding to smooth n-ary functions on the real line (satisfying natural axioms). We prove that the cosimplicial abelian group associated to the de Rham complex of Euclidean space has the structure of a cosimplicial C-infinity ring. We also analyse the notion of R-module (following Quillen) for a (co-)simplicial C-infinity ring R.

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