On Equation Manifolds, the Vinogradov Spectral Sequence, and Related Diffeological Structures-Reference-Cited by-同舟云学术

On Equation Manifolds, the Vinogradov Spectral Sequence, and Related Diffeological Structures

Published:2024-02-06 Issue:2 Volume:16 Page:192
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Magnot Jean-Pierre¹²,Reyes Enrique G.³^ORCID

Affiliation:

1. CNRS, Laboratoire Angevin de REcherche en Mathématiques (LAREMA), SFR MATHSTIC, University of Angers, 49000 Angers, France

2. Lycée Jeanne d’Arc Avenue de Grande Bretagne, 63000 Clermont-Ferrand, France

3. Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile (USACH), Casilla 307 Correo 2, Santiago 9170020, Chile

Abstract

We consider basic diffeological structures that can be highlighted naturally within the theory of the Vinogradov spectral sequence and equation manifolds. These interrelated features are presented in a rigorous and accurate way, that complements some heuristic formulations appearing in very recent literature. We also propose a refined definition of the Vinogradov spectral sequence using diffeologies.

Funder

FONDECYT, Chile

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/2/192/pdf

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