2014/04/04 by Tadayuki Haraguchi, Haraguchi, Tadayuki · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1404.1127
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.