{"title":"Unstable algebraic K-theory: homological stability and other observations","authors":"Mikala Ørsnes Jansen","doi":"arxiv-2405.02065","DOIUrl":null,"url":null,"abstract":"We investigate stability properties of the reductive Borel-Serre categories;\nthese were introduced as a model for unstable algebraic K-theory in previous\nwork. We see that they exhibit better homological stability properties than the\ngeneral linear groups. We also show that they provide an explicit model for\nYuan's partial algebraic K-theory.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.02065","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate stability properties of the reductive Borel-Serre categories;
these were introduced as a model for unstable algebraic K-theory in previous
work. We see that they exhibit better homological stability properties than the
general linear groups. We also show that they provide an explicit model for
Yuan's partial algebraic K-theory.
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