{"title":"论卢里的∞ $\\infty$ -operads 与树枝状的∞ $\\infty$ -operads 的等价性","authors":"Vladimir Hinich, Ieke Moerdijk","doi":"10.1112/topo.70003","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we prove the equivalence of two symmetric monoidal <span></span><math>\n <semantics>\n <mi>∞</mi>\n <annotation>$\\infty$</annotation>\n </semantics></math>-categories of <span></span><math>\n <semantics>\n <mi>∞</mi>\n <annotation>$\\infty$</annotation>\n </semantics></math>-operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/topo.70003","citationCount":"0","resultStr":"{\"title\":\"On the equivalence of Lurie's \\n \\n ∞\\n $\\\\infty$\\n -operads and dendroidal \\n \\n ∞\\n $\\\\infty$\\n -operads\",\"authors\":\"Vladimir Hinich, Ieke Moerdijk\",\"doi\":\"10.1112/topo.70003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we prove the equivalence of two symmetric monoidal <span></span><math>\\n <semantics>\\n <mi>∞</mi>\\n <annotation>$\\\\infty$</annotation>\\n </semantics></math>-categories of <span></span><math>\\n <semantics>\\n <mi>∞</mi>\\n <annotation>$\\\\infty$</annotation>\\n </semantics></math>-operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1112/topo.70003\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1112/topo.70003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/topo.70003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the equivalence of Lurie's
∞
$\infty$
-operads and dendroidal
∞
$\infty$
-operads
In this paper, we prove the equivalence of two symmetric monoidal -categories of -operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.