{"title":"完全解析等价关系","authors":"Alain Louveau, Christian Rosendal","doi":"10.1016/S0764-4442(01)02160-7","DOIUrl":null,"url":null,"abstract":"<div><p>We prove that various concrete analytic equivalence relations arising in model theory or analysis are complete, i.e., maximum in the Borel reducibility ordering. The proofs use some general results concerning the wider class of analytic quasi-orders.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 10","pages":"Pages 903-906"},"PeriodicalIF":0.0000,"publicationDate":"2001-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02160-7","citationCount":"5","resultStr":"{\"title\":\"Relations d'équivalence analytiques complètes\",\"authors\":\"Alain Louveau, Christian Rosendal\",\"doi\":\"10.1016/S0764-4442(01)02160-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We prove that various concrete analytic equivalence relations arising in model theory or analysis are complete, i.e., maximum in the Borel reducibility ordering. The proofs use some general results concerning the wider class of analytic quasi-orders.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 10\",\"pages\":\"Pages 903-906\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02160-7\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021607\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021607","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We prove that various concrete analytic equivalence relations arising in model theory or analysis are complete, i.e., maximum in the Borel reducibility ordering. The proofs use some general results concerning the wider class of analytic quasi-orders.
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