Simplicial cochain algebras for diffeological spaces

The original de Rham cohomology due to Souriau and the singular cohomology in diffeology are not isomorphic to each other in general. This manuscript introduces a singular de Rham complex endowed with an integration map into the singular cochain complex which gives the de Rham theorem for every diff...

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Veröffentlicht in:	Indagationes mathematicae 2020-11, Vol.31 (6), p.934-967
1. Verfasser:	Kuribayashi, Katsuhiko
Format:	Artikel
Sprache:	eng
Schlagworte:	de Rham theorem Diffeology Differential graded algebra Homology Isomorphism Simplicial set Spectral sequence
Online-Zugang:	Volltext
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