{"title":"摩尔空间的稳定同调群","authors":"Inès Saihi","doi":"arxiv-2408.15709","DOIUrl":null,"url":null,"abstract":"We determine explicitly the stable homotopy groups of Moore spaces up to the\nrange 7, using an equivalence of categories which allows to consider each Moore\nspace as an exact couple of $\\mathbb Z$-modules.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"65 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stable Homotopy Groups of Moore Spaces\",\"authors\":\"Inès Saihi\",\"doi\":\"arxiv-2408.15709\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine explicitly the stable homotopy groups of Moore spaces up to the\\nrange 7, using an equivalence of categories which allows to consider each Moore\\nspace as an exact couple of $\\\\mathbb Z$-modules.\",\"PeriodicalId\":501119,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Topology\",\"volume\":\"65 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.15709\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.15709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We determine explicitly the stable homotopy groups of Moore spaces up to the
range 7, using an equivalence of categories which allows to consider each Moore
space as an exact couple of $\mathbb Z$-modules.
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