[{"_1":2,"_3":-5,"_4":-5},"loaderData",{"_5":6,"_7":8,"_9":10},"actionData","errors","root",{"_271":272},"routes/_layout",{"_11":191},"routes/entity.$type.$id",{"_11":12,"_13":14,"_15":16,"_17":18,"_19":20,"_21":22,"_23":24,"_25":26,"_27":28},"dehydratedState",{"_74":75,"_76":77},"type","paper","id","paper_W1576790646","section","technologies","entity",{"_15":16,"_29":30,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":38,"_39":-5,"_40":41,"_42":43,"_44":45,"_46":47,"_48":-5,"_49":50,"_51":30,"_52":53,"_54":55,"_56":57,"_58":59,"_60":61,"_62":-5,"_63":64,"_65":66,"_67":68,"_69":30,"_70":-5},"canonical","https://www.hugmap.com/entity/paper/paper_W1576790646/technologies","siteBaseUrl","https://www.hugmap.com","sectionCount",1,"jsonLd","{\"@context\":\"https://schema.org\",\"@graph\":[{\"name\":\"The homotopy theory of fusion systems\",\"url\":\"https://www.hugmap.com/entity/paper/paper_W1576790646/technologies\",\"@type\":\"ScholarlyArticle\",\"headline\":\"The homotopy theory of fusion systems\",\"datePublished\":\"2003-07-21\",\"isPartOf\":{\"@type\":\"Periodical\",\"name\":\"Journal of the American Mathematical Society\"}},{\"@type\":\"CollectionPage\",\"name\":\"The homotopy theory of fusion systems 相关技术\",\"description\":\"The homotopy theory of fusion systems 在 HugMap 中的相关技术，共 1 条，含结构化关联信息与详情链接。\",\"url\":\"https://www.hugmap.com/entity/paper/paper_W1576790646/technologies\",\"inLanguage\":\"zh-CN\"},{\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"首页\",\"item\":\"https://www.hugmap.com/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"论文\",\"item\":\"https://www.hugmap.com/search?type=paper\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"The homotopy theory of fusion systems\",\"item\":\"https://www.hugmap.com/entity/paper/paper_W1576790646\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"相关技术\",\"item\":\"https://www.hugmap.com/entity/paper/paper_W1576790646/technologies\"}]}]}","name","The homotopy theory of fusion systems","nameZh","aliases","description","descriptionZh","status","active","externalIds","{\"openalex\":\"W1576790646\",\"doi\":\"10.1090/s0894-0347-03-00434-x\"}","properties","source","openalex","createdAt","2026-05-20T23:03:44.230196996","updatedAt","2026-05-20T23:08:40.181375374","doi","10.1090/s0894-0347-03-00434-x","arxivId","openalexId","W1576790646","title","abstractText","We define and characterize a class of p p -complete spaces X X which have many of the same properties as the p p -completions of classifying spaces of finite groups. For example, each such X X has a Sylow subgroup B S ⟶ X BS\\longrightarrow X , maps B Q ⟶ X BQ\\longrightarrow X for a p p -group Q Q are described via homomorphisms Q ⟶ S Q\\longrightarrow S , and H ∗ ( X ; F p ) H^*(X;\\mathbb {F}_p) is isomorphic to a certain ring of “stable elements” in H ∗ ( B S ; F p ) H^*(BS;\\mathbb {F}_p) . These spaces arise as the “classifying spaces” of certain algebraic objects which we call “ p p -local finite groups”. Such an object consists of a system of fusion data in S S , as formalized by L. Puig, extended by some extra information carried in a category which allows rigidification of the fusion data.","publishedDate","2003-07-21","publishedYear",2003,"venue","Journal of the American Mathematical Society","citationCount",311,"authors","keywords",[71,72,73],"pdfUrl","https://www.ams.org/jams/2003-16-04/S0894-0347-03-00434-X/S0894-0347-03-00434-X.pdf","topVenue",false,"displayName","displayDescription","Homotopy and Cohomology in Algebraic Topology","Algebraic structures and combinatorial models","Topological and Geometric Data Analysis","mutations",[],"queries",[78],{"_79":80,"_81":82,"_83":84,"_85":86},"dehydratedAt",1781542289185,"state",{"_88":89,"_90":26,"_91":92,"_93":-5,"_94":95,"_96":95,"_97":95,"_98":-5,"_99":-5,"_100":68,"_35":101,"_102":103},"queryKey",[87,19,14,16],"queryHash","[\"portal\",\"entity\",\"paper\",\"paper_W1576790646\"]","portal","data",{"_19":20,"_104":105,"_106":107,"_108":109,"_110":111,"_18":112,"_62":113},"dataUpdateCount","dataUpdatedAt",1781542289184,"error","errorUpdateCount",0,"errorUpdatedAt","fetchFailureCount","fetchFailureReason","fetchMeta","isInvalidated","success","fetchStatus","idle","entityType","Paper","taxonomies",[158,159,160],"events",[],"articles",[],[143],[114,115,116],{"_15":138,"_29":139,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":140,"_39":-5,"_40":41,"_42":141,"_44":142,"_122":-5,"_51":-5,"_124":-5,"_125":-5,"_126":-5,"_60":-5,"_127":-5,"_128":-5,"_129":-5,"_130":-5,"_131":-5,"_69":139,"_70":-5},{"_15":132,"_29":133,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":134,"_39":-5,"_40":41,"_42":135,"_44":136,"_122":137,"_51":-5,"_124":-5,"_125":-5,"_126":-5,"_60":-5,"_127":-5,"_128":-5,"_129":-5,"_130":-5,"_131":-5,"_69":133,"_70":-5},{"_15":117,"_29":118,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":119,"_39":-5,"_40":41,"_42":120,"_44":121,"_122":123,"_51":-5,"_124":-5,"_125":-5,"_126":-5,"_60":-5,"_127":-5,"_128":-5,"_129":-5,"_130":-5,"_131":-5,"_69":118,"_70":-5},"person_A5075630848","Carles Broto","{\"openalex\":\"A5075630848\",\"orcid\":\"0000-0001-7899-4306\"}","2026-05-20T23:03:45.180230985","2026-05-20T23:08:40.187841885","orcid","0000-0001-7899-4306","affiliation","researchArea","paperCount","homepage","linkedin","twitter","github","hindex","person_A5065001653","Ran Levi","{\"openalex\":\"A5065001653\",\"orcid\":\"0000-0001-5297-8295\"}","2026-05-20T23:03:46.177566193","2026-05-20T23:08:40.195292388","0000-0001-5297-8295","person_A5090070078","Bob Oliver","{\"openalex\":\"A5090070078\"}","2026-05-20T23:03:47.181002022","2026-05-20T23:08:40.202287016",{"_15":144,"_29":72,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":145,"_39":-5,"_40":146,"_42":147,"_44":148,"_149":150,"_151":152,"_153":-5,"_154":155,"_156":-5,"_126":-5,"_157":-5,"_69":72,"_70":-5},"tech_oa_T10287","{\"taxonomy_id\":\"tax_rd_T10287\"}","openalex_topics","2026-05-17T09:00:36.194580687","2026-05-17T09:00:36.194583729","techType","concept","domain","Physical Sciences","proposedYear","maturityLevel","growing","wikipediaUrl","patentCount",{"_15":185,"_29":73,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":186,"_39":-5,"_40":41,"_42":187,"_44":188,"_165":166,"_167":-5,"_168":169,"_170":189,"_172":190,"_174":95,"_175":176,"_177":95,"_178":-5,"_69":73,"_70":-5},{"_15":179,"_29":72,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":180,"_39":-5,"_40":41,"_42":181,"_44":182,"_165":166,"_167":-5,"_168":169,"_170":183,"_172":184,"_174":95,"_175":176,"_177":95,"_178":-5,"_69":72,"_70":-5},{"_15":161,"_29":71,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":162,"_39":-5,"_40":41,"_42":163,"_44":164,"_165":166,"_167":-5,"_168":169,"_170":171,"_172":173,"_174":95,"_175":176,"_177":95,"_178":-5,"_69":71,"_70":-5},"tax_rd_T10896","{\"openalex_topic\":\"T10896\"}","2026-05-14T02:50:35.305772057","2026-05-23T12:14:23.350028997","taxonomyType","RESEARCH_DOMAIN","code","level",3,"parentId","tax_rd_2610","path","Physical Sciences/Mathematics/Mathematical Physics/Homotopy and Cohomology in Algebraic Topology","sortOrder","isLeaf",true,"entityCount","children","tax_rd_T10287","{\"openalex_topic\":\"T10287\"}","2026-05-14T01:02:37.2423763","2026-05-23T11:54:41.21194927","tax_rd_2608","Physical Sciences/Mathematics/Geometry and Topology/Algebraic structures and combinatorial models","tax_rd_T12536","{\"openalex_topic\":\"T12536\"}","2026-05-14T00:39:20.305168512","2026-05-23T11:54:41.259433511","tax_rd_1703","Physical Sciences/Computer Science/Computational Theory and Mathematics/Topological and Geometric Data Analysis",{"_74":192,"_76":193},[],[194],{"_79":195,"_81":196,"_83":197,"_85":198},1781542282679,{"_88":200,"_90":26,"_91":195,"_93":-5,"_94":95,"_96":95,"_97":95,"_98":-5,"_99":-5,"_100":68,"_35":101,"_102":103},[87,199],"[\"portal\",\"industries\"]","industries",[201,202,203,204,205,206,207,208,209,210,211,212],{"_15":264,"_29":265,"_31":-5,"_32":266,"_33":267,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":268,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":265,"_70":267},{"_15":260,"_29":261,"_31":-5,"_32":-5,"_33":262,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":263,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":261,"_70":262},{"_15":254,"_29":255,"_31":-5,"_32":256,"_33":257,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":258,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":255,"_70":257},{"_15":250,"_29":251,"_31":-5,"_32":-5,"_33":252,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":253,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":251,"_70":252},{"_15":246,"_29":247,"_31":-5,"_32":-5,"_33":248,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":249,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":247,"_70":248},{"_15":240,"_29":241,"_31":-5,"_32":242,"_33":243,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":244,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":241,"_70":243},{"_15":236,"_29":237,"_31":-5,"_32":-5,"_33":238,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":239,"_174":95,"_175":176,"_177":95,"_178":-5,"_69":237,"_70":238},{"_15":232,"_29":233,"_31":-5,"_32":-5,"_33":234,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":235,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":233,"_70":234},{"_15":228,"_29":229,"_31":-5,"_32":-5,"_33":230,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":231,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":229,"_70":230},{"_15":224,"_29":225,"_31":-5,"_32":-5,"_33":226,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":227,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":225,"_70":226},{"_15":220,"_29":221,"_31":-5,"_32":-5,"_33":222,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":223,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":221,"_70":222},{"_15":213,"_29":214,"_31":-5,"_32":-5,"_33":215,"_34":-5,"_35":36,"_37":-5,"_39":-5,"_40":216,"_42":-5,"_44":-5,"_165":217,"_167":-5,"_168":26,"_170":218,"_172":219,"_174":95,"_175":68,"_177":95,"_178":-5,"_69":214,"_70":215},"tax_ind_smartphone","智能手机","Smartphone","manual","INDUSTRY","tax_ind_root","科技行业/智能手机","tax_ind_robot","机器人","Robotics","科技行业/机器人","tax_ind_wearable","智能穿戴","Smart Wearables","科技行业/智能穿戴","tax_ind_energy","新能源与智能制造","New Energy & Smart Manufacturing","科技行业/新能源与智能制造","tax_ind_biotech","生物科技","Biotech","科技行业/生物科技","tax_ind_quantum","量子计算","Quantum Computing","科技行业/量子计算","tax_ind_blockchain","区块链",[245],"Blockchain","科技行业/区块链","Web3","tax_ind_enterprise","企业软件","Enterprise Software","科技行业/企业软件","tax_ind_security","网络安全","Cybersecurity","科技行业/网络安全","tax_ind_semi","半导体",[259],"Semiconductor","科技行业/半导体","芯片","tax_ind_cloud","云计算","Cloud Computing","科技行业/云计算","tax_ind_ai","人工智能",[269,270],"Artificial Intelligence","科技行业/人工智能","AI","AI 技术","env",{"_273":24},"SITE_BASE_URL"]

The homotopy theory of fusion systems 论文

The homotopy theory of fusion systems · 相关技术

相关技术