The Normal Form of Borel Sets. Part I: Borel Sets of Finite Rank

Détails

ID Serval
serval:BIB_E8143402C4AD
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Titre
The Normal Form of Borel Sets. Part I: Borel Sets of Finite Rank
Périodique
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics,
Auteur⸱e⸱s
Duparc J.
ISSN
1631-073X
Statut éditorial
Publié
Date de publication
1995
Peer-reviewed
Oui
Volume
320
Numéro
6
Pages
651-656
Langue
anglais
Résumé
For each Borel set of reals A, of finite rank, we obtain a "normal form" of A, by finding a Borel set Ω of maximum simplicity, such that A and Ω continuously reduce to each other. In more technical terms : we define simple Borel operations which are homomorphic to ordinal sum, to multiplication by a countable ordinal, and to ordinal exponentiation of base ω1, under the map which sends every Borel set A of finite rank to its Wadge degree.
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Création de la notice
23/01/2008 19:11
Dernière modification de la notice
20/08/2019 16:10
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