{"title":"对象-分类器拓扑中洛维理论的有限代数表述","authors":"Marcelo Fiore, Sanjiv Ranchod","doi":"arxiv-2408.08980","DOIUrl":null,"url":null,"abstract":"Over the topos of sets, the notion of Lawvere theory is infinite\ncountably-sorted algebraic but not one-sorted algebraic. Shifting viewpoint\nover the object-classifier topos, a finite algebraic presentation of Lawvere\ntheories is considered.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A finite algebraic presentation of Lawvere theories in the object-classifier topos\",\"authors\":\"Marcelo Fiore, Sanjiv Ranchod\",\"doi\":\"arxiv-2408.08980\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Over the topos of sets, the notion of Lawvere theory is infinite\\ncountably-sorted algebraic but not one-sorted algebraic. Shifting viewpoint\\nover the object-classifier topos, a finite algebraic presentation of Lawvere\\ntheories is considered.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":\"2 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-16\",\"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-2408.08980\",\"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-2408.08980","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A finite algebraic presentation of Lawvere theories in the object-classifier topos
Over the topos of sets, the notion of Lawvere theory is infinite
countably-sorted algebraic but not one-sorted algebraic. Shifting viewpoint
over the object-classifier topos, a finite algebraic presentation of Lawvere
theories is considered.
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