Long exact sequences for de Rham cohomology of diffeological spaces

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.

12 pages

References in corpus (1)

• Homology and cohomology via enriched bifunctors

Cited by in corpus (1)

• A commutative model for PL compactly supported cohomology in characteristic zero