{"title":"具有有理H（2）-结构的非共正规分类空间的一个例子","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":"{\"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}","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}
An example of non-coformal classifying space with rational H(2)-structure
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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