Relative De Rham cohomology in diffeological spaces

Abstract

We define two different versions of the relative De Rham cohomology groups of a diffeological space. Additionally, we study a variant of the Mayer-Vietoris sequence and discuss the existence of a relative cup product. Our approach is categorical, replacing open coverings with generating families and unions and intersections with pull-back and join constructions.

arXiv comment21 pages, This is a completely refurbished version of a previous paper on the cup product in diffeological spaces