{"title":"An example of non-coformal classifying space with rational H(2)-structure","authors":"Hirokazu Nishinobu, Toshihiro Yamaguchi","doi":"10.24193/mathcluj.2022.2.10","DOIUrl":null,"url":null,"abstract":"Let Baut_1X and Baut_1p be the Dold-Lashof classifying spaces of a space X and a fibration p:X --> Y, respectively. In this paper, we give an example that there exists a fibration Xi such that Baut_1X and Baut_1p are not coformal and are rational H(2)-spaces.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2022.2.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
Let Baut_1X and Baut_1p be the Dold-Lashof classifying spaces of a space X and a fibration p:X --> Y, respectively. In this paper, we give an example that there exists a fibration Xi such that Baut_1X and Baut_1p are not coformal and are rational H(2)-spaces.
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