{"title":"(infty,ω)$类别的分类理论","authors":"Félix Loubaton","doi":"arxiv-2406.05425","DOIUrl":null,"url":null,"abstract":"This text is dedicated to the development of the theory of\n$(\\infty,\\omega)$-categories. We present generalizations of standard results\nfrom category theory, such as the lax Grothendieck construction, the Yoneda\nlemma, lax (co)limits and lax Kan extensions, among others.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Categorical Theory of $(\\\\infty,ω)$-Categories\",\"authors\":\"Félix Loubaton\",\"doi\":\"arxiv-2406.05425\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This text is dedicated to the development of the theory of\\n$(\\\\infty,\\\\omega)$-categories. We present generalizations of standard results\\nfrom category theory, such as the lax Grothendieck construction, the Yoneda\\nlemma, lax (co)limits and lax Kan extensions, among others.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-08\",\"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-2406.05425\",\"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-2406.05425","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This text is dedicated to the development of the theory of
$(\infty,\omega)$-categories. We present generalizations of standard results
from category theory, such as the lax Grothendieck construction, the Yoneda
lemma, lax (co)limits and lax Kan extensions, among others.
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