若干类树枝状无性繁殖体的权利取消特性

arXiv - MATH - Category Theory Pub Date : 2024-07-15 DOI:arxiv-2407.18959

Miguel Barata

{"title":"若干类树枝状无性繁殖体的权利取消特性","authors":"Miguel Barata","doi":"arxiv-2407.18959","DOIUrl":null,"url":null,"abstract":"We generalize a previous result of Stevenson to the category of dendroidal\nsets, yielding the right cancellation property of dendroidal inner anodynes\nwithin the class of normal monomorphisms. As an application of this property,\nwe show how to construct a symmetric monoidal $\\infty$-category\n$\\mathsf{Env}(X)^\\otimes$ from a dendroidal $\\infty$-operad $X$, in a way that\ngeneralizes the symmetric monoidal envelope of a coloured operad.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The right cancellation property for certain classes of dendroidal anodynes\",\"authors\":\"Miguel Barata\",\"doi\":\"arxiv-2407.18959\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We generalize a previous result of Stevenson to the category of dendroidal\\nsets, yielding the right cancellation property of dendroidal inner anodynes\\nwithin the class of normal monomorphisms. As an application of this property,\\nwe show how to construct a symmetric monoidal $\\\\infty$-category\\n$\\\\mathsf{Env}(X)^\\\\otimes$ from a dendroidal $\\\\infty$-operad $X$, in a way that\\ngeneralizes the symmetric monoidal envelope of a coloured operad.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-15\",\"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-2407.18959\",\"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-2407.18959","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们将史蒂文森之前的一个结果推广到了树枝集合的范畴，从而在正态单项式类中得到了树枝内反函数的右取消性质。作为这个性质的一个应用，我们展示了如何从一个dendroidal $\infty$-operad $X$ 构造一个对称单环$\infty$-category$mathsf{Env}(X)^\otimes$，这个方法概括了彩色操作数的对称单环包络。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The right cancellation property for certain classes of dendroidal anodynes

We generalize a previous result of Stevenson to the category of dendroidal sets, yielding the right cancellation property of dendroidal inner anodynes within the class of normal monomorphisms. As an application of this property, we show how to construct a symmetric monoidal $\infty$-category $\mathsf{Env}(X)^\otimes$ from a dendroidal $\infty$-operad $X$, in a way that generalizes the symmetric monoidal envelope of a coloured operad.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Category Theory

自引率

0.00%

发文量