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arXiv:1404.1127 [math.AT]AbstractReferencesReviewsResources

Long exact sequences for de Rham cohomology of diffeological spaces

Tadayuki Haraguchi

Published 2014-04-04Version 1

In this paper we present the notion of de Rham cohomology with compact support for diffeological spaces. Moreover we shall discuss the existence of three long exact sequences. As a concrete example, we show that long exact sequences exist for the de Rham cohomology of diffeological subcartesian spaces.

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