English

Mayer-Vietoris sequence for generating families in diffeological spaces

Differential Geometry 2022-09-20 v2

Abstract

We prove a version of the Mayer-Vietoris sequence for De Rham differential forms in diffeological spaces. It is based on the notion of a generating family instead of that of a covering by open subsets.

Keywords

Cite

@article{arxiv.2209.05537,
  title  = {Mayer-Vietoris sequence for generating families in diffeological spaces},
  author = {Enrique Macías-Virgós and Reihaneh Mehrabi},
  journal= {arXiv preprint arXiv:2209.05537},
  year   = {2022}
}

Comments

12 pages. Version 2: we corrected several typos and introduced a new numbering