{"title":"有序族的有效下降态式","authors":"Maria Manuel Clementino, Rui Prezado","doi":"arxiv-2407.08573","DOIUrl":null,"url":null,"abstract":"We present a characterization of effective descent morphisms in the lax comma\ncategory $\\mathsf{Ord}//X$ when $X$ is a locally complete ordered set with a\nbottom element.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":"25 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effective descent morphisms of ordered families\",\"authors\":\"Maria Manuel Clementino, Rui Prezado\",\"doi\":\"arxiv-2407.08573\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a characterization of effective descent morphisms in the lax comma\\ncategory $\\\\mathsf{Ord}//X$ when $X$ is a locally complete ordered set with a\\nbottom element.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-11\",\"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-2407.08573\",\"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-2407.08573","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We present a characterization of effective descent morphisms in the lax comma
category $\mathsf{Ord}//X$ when $X$ is a locally complete ordered set with a
bottom element.
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