Relative De Rham cohomology in diffeological spaces
Algebraic Topology
2024-12-19 v4
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.
Keywords
Cite
@article{arxiv.2306.06478,
title = {Relative De Rham cohomology in diffeological spaces},
author = {Enrique Macías-Virgós and Reihaneh Mehrabi},
journal= {arXiv preprint arXiv:2306.06478},
year = {2024}
}
Comments
21 pages, This is a completely refurbished version of a previous paper on the cup product in diffeological spaces