{"title":"l2 -Betti数与实数的可计算性","authors":"Clara Löh, Matthias Uschold","doi":"10.3233/com-220416","DOIUrl":null,"url":null,"abstract":"We study the computability degree of real numbers arising as L 2 -Betti numbers or L 2 -torsion of groups, parametrised over the Turing degree of the word problem.","PeriodicalId":42452,"journal":{"name":"Computability-The Journal of the Association CiE","volume":"85 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"L 2 -Betti numbers and computability of reals\",\"authors\":\"Clara Löh, Matthias Uschold\",\"doi\":\"10.3233/com-220416\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the computability degree of real numbers arising as L 2 -Betti numbers or L 2 -torsion of groups, parametrised over the Turing degree of the word problem.\",\"PeriodicalId\":42452,\"journal\":{\"name\":\"Computability-The Journal of the Association CiE\",\"volume\":\"85 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computability-The Journal of the Association CiE\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3233/com-220416\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computability-The Journal of the Association CiE","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/com-220416","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
We study the computability degree of real numbers arising as L 2 -Betti numbers or L 2 -torsion of groups, parametrised over the Turing degree of the word problem.
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