RE-proximities as fixed points of an operator on pseudo-proximities - Laboratoire de Mathematiques Accéder directement au contenu
Article Dans Une Revue Topology and its Applications Année : 2000

RE-proximities as fixed points of an operator on pseudo-proximities

Résumé

We show that the RE-proximities of Császár (1986) can be obtained as images of some natural operator defined on pseudo proximities. Considering the one-to-one correspondence between closed graph relations on the ultrafilter space (the so-called “nasses” of Haddad (1970)) and pseudo proximities, this operator is indeed the correspondent of an idempotent operator defined on nasses and based upon the concepts of equivalence kernel and domain of a nasse.
Fichier principal
Vignette du fichier
ProxFixedPoints.pdf (194.79 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
licence : CC BY NC ND - Paternité - Pas d'utilisation commerciale - Pas de modification

Dates et versions

hal-04090554 , version 1 (10-05-2023)

Identifiants

  • HAL Id : hal-04090554 , version 1

Citer

Monique Chicourrat. RE-proximities as fixed points of an operator on pseudo-proximities. Topology and its Applications, 2000, 104 (1-3), pp.39-51. ⟨hal-04090554⟩
11 Consultations
6 Téléchargements

Partager

Gmail Facebook X LinkedIn More