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Mayer-Vietoris sequence for generating families in diffeological spaces

2022/09/12 by E. Macías–Virgós, Macías-Virgós, Enrique, Reihaneh Mehrabi +1
Mathematics · #14F40 #58A40 #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2209.05537

openalex publication_date 2022/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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