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Simplicial cochain algebras for diffeological spaces

By Katsuhiko Kuribayashi
We introduce a de Rham complex endowed with an integration map to the singular cochain complex which gives the de Rham theorem for every diffeological space. The theorem allows us to conclude that the Chen complex for a simply-connected manifold is quasi-isomorphic to the new de Rham complex of the... Show more
March 14, 2019
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Simplicial cochain algebras for diffeological spaces
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