Some remarks on Baire's grand theorem

Détails

ID Serval
serval:BIB_ED9FFD55DEE7
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Some remarks on Baire's grand theorem
Périodique
Archive for Mathematical Logic
Auteur⸱e⸱s
Camerlo R., Duparc J.
ISSN
0933-5846
1432-0665
Statut éditorial
Publié
Date de publication
01/06/2017
Peer-reviewed
Oui
Pages
1-7
Langue
anglais
Résumé
We provide a game theoretical proof of the fact that if f is a function from a zero-dimensional Polish space to NN that has a point of continuity when restricted to any non-empty compact subset, then f is of Baire class 1. We use this property of the restrictions to compact sets to give a generalisation of Baire’s grand theorem for functions of any Baire class.
Mots-clé
Baire class ξ function, Wadge game, Eraser game ,Polish zero Dimensional space, Compact set, Philosophy, Logic, Philosophy, Logic
Création de la notice
14/06/2017 20:26
Dernière modification de la notice
08/07/2021 6:36
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