{"title":"Homotopy types of truncated projective resolutions","authors":"W. Mannan","doi":"10.4310/HHA.2007.v9.n2.a16","DOIUrl":null,"url":null,"abstract":"We work over an arbitrary ring R. Given two truncated projective\nresolutions of equal length for the same module, we consider\ntheir underlying chain complexes. We show they may be\nstabilized by projective modules to obtain a pair of complexes\nof the same homotopy type","PeriodicalId":55050,"journal":{"name":"Homology Homotopy and Applications","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Homology Homotopy and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/HHA.2007.v9.n2.a16","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 8
Abstract
We work over an arbitrary ring R. Given two truncated projective
resolutions of equal length for the same module, we consider
their underlying chain complexes. We show they may be
stabilized by projective modules to obtain a pair of complexes
of the same homotopy type
期刊介绍：
Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.
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