On diffeologies for power sets and measures - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

On diffeologies for power sets and measures

Alireza Ahmadi
  • Fonction : Auteur
  • PersonId : 1239251

Résumé

We consider a differential geometric setting on power sets and Borel algebras. Our chosen framework is based on diffeologies, and we make a link between the various diffeological structures that we propose, having in mind set-valued maps, relations, set-valued gradients, differentiable measures, and shape analysis. This work intends to establish rigorous properties on sample diffeologies that seem of interest to us.
Fichier principal
Vignette du fichier
powerset-diffeology-v13-2.pdf (467.05 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04038676 , version 1 (21-03-2023)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : hal-04038676 , version 1

Citer

Alireza Ahmadi, Jean-Pierre Magnot. On diffeologies for power sets and measures. 2023. ⟨hal-04038676v1⟩
9 Consultations
28 Téléchargements

Partager

Gmail Facebook X LinkedIn More