{"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":"17 1","pages":""},"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}
引用次数: 0
Abstract
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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