{"title":"S-Colocalization and Adams Cocompletion","authors":"Snigdha Bharati Choudhury, A. Behera","doi":"10.1007/s11253-023-02262-y","DOIUrl":null,"url":null,"abstract":"<p>A relationship between the <i>S</i>-colocalization of an object and the Adams cocompletion of the same object in a complete small <i>𝒰</i> -category (<i>𝒰</i> is a fixed Grothendieck universe) is established together with a specific set of morphisms <i>S.</i></p>","PeriodicalId":49406,"journal":{"name":"Ukrainian Mathematical Journal","volume":"39 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ukrainian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11253-023-02262-y","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A relationship between the S-colocalization of an object and the Adams cocompletion of the same object in a complete small 𝒰 -category (𝒰 is a fixed Grothendieck universe) is established together with a specific set of morphisms S.
期刊介绍:
Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries.
Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.