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WADGE HIERARCHY OF DIFFERENCES OF CO-ANALYTIC SETS

Published online by Cambridge University Press:  09 March 2016

KEVIN FOURNIER
KEVIN FOURNIER*
Affiliation:
INSTITUT DES SYSTÈMES D’INFORMATION FACULTÉ DES HAUTES ÉTUDES COMMERCIALES UNIVERSITÉ DE LAUSANNE 1015 LAUSANNE, SWITZERLAND ÉQUIPE DE LOGIQUE MATHÉMATIQUE UNIVERSITÉ PARIS DIDEROT UFR DE MATHÉMATIQUES CASE 7012 75205 PARIS CEDEX 13, FRANCEE-mail: [email protected]
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Abstract

We begin the fine analysis of nonBorel pointclasses. Working in ZFC + DET$\left( {_1^1 } \right)$, we describe the Wadge hierarchy of the class of increasing differences of co-analytic subsets of the Baire space by extending results obtained by Louveau ([5]) for the Borel sets.

Keywords

Wadge hierarchyboolean operationsco-analytic setsdeterminacy
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 1 , March 2016 , pp. 201 - 215
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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