WADGE HIERARCHY OF DIFFERENCES OF CO-ANALYTIC SETS.
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.
| Published in: | Journal of Symbolic Logic Vol. 81; no. 1; pp. 201 - 216 |
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| Format: | Article |
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Cambridge University Press
Mar2016
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| Online Access: | View this record in EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=113600880&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 113600880 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00224812 3TY jtl: Journal of Symbolic Logic issn: 00224812 maglogo: N pubinfo: dt: Mar2016 vid: 81 iid: 1 pid: 15979 pub: Cambridge University Press artinfo: ui: 113600880 10.1017/jsl.2014.79 ppf: 201 ppct: 15 formats: tig: atl: WADGE HIERARCHY OF DIFFERENCES OF CO-ANALYTIC SETS. aug: au: FOURNIER, KEVIN affil: 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, FRANCE E-mail: kevin.fournier@imj-prg.fr su: Set theory Baire spaces Borel sets Boolean algebra Mathematical equivalence sug: subj: Set theory Baire spaces Borel sets Boolean algebra Mathematical equivalence keyword: boolean operations co-analytic sets determinacy Wadge hierarchy ab: 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. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2016 holdings: @attributes: islocal: N |
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