arXiv subjects

Reihaneh Mehrabi

Publications and source records attributed to Reihaneh Mehrabi.

2 recordsLinked to original sources

arXiv2024

Relative De Rham cohomology in diffeological spaces

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.

math.AT↗

arXiv2022

Mayer-Vietoris sequence for generating families in diffeological spaces

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.

math.DG↗