{"title":"奎伦邻接的简单表征","authors":"Victor Carmona","doi":"arxiv-2406.02194","DOIUrl":null,"url":null,"abstract":"We observe that an enriched right adjoint functor between model categories\nwhich preserves acyclic fibrations and fibrant objects is quite generically a\nright Quillen functor.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":"67 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A simple characterization of Quillen adjunctions\",\"authors\":\"Victor Carmona\",\"doi\":\"arxiv-2406.02194\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We observe that an enriched right adjoint functor between model categories\\nwhich preserves acyclic fibrations and fibrant objects is quite generically a\\nright Quillen functor.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":\"67 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Category Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.02194\",\"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 - Category Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.02194","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We observe that an enriched right adjoint functor between model categories
which preserves acyclic fibrations and fibrant objects is quite generically a
right Quillen functor.