English

Long exact sequences for de Rham cohomology of diffeological spaces

Algebraic Topology 2014-04-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1404.1127,
  title  = {Long exact sequences for de Rham cohomology of diffeological spaces},
  author = {Tadayuki Haraguchi},
  journal= {arXiv preprint arXiv:1404.1127},
  year   = {2014}
}

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12 pages