A Normal Form of Borel Sets of Finite Rank

Détails

ID Serval
serval:BIB_3F1A465A356C
Type
Non publié: un document ayant un auteur et un titre, mais non publié.
Collection
Publications
Institution
Titre
A Normal Form of Borel Sets of Finite Rank
Auteur⸱e⸱s
Duparc J.
Date de publication
2008
Notes
submitted to Notre-Dame Journal of Formal Logic radically different proofs and tools than the ones in the article submitted to JSL. These proofs are close to the ones in my Ph.D. Thesis, but extremely reduced
Résumé
For each Borel set of reals A, of finite rank, we obtain a ``normal form'' of A, by finding a canonical Borel set Ω, 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.
Création de la notice
23/01/2008 20:45
Dernière modification de la notice
20/08/2019 14:36
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