{"title":"E_n$-operads 的组合和同态方面","authors":"Christian Schlichtkrull","doi":"arxiv-2408.17236","DOIUrl":null,"url":null,"abstract":"We show that a certain class of categorical operads give rise to\n$E_n$-operads after geometric realization. The main arguments are purely\ncombinatorial and avoid the technical topological assumptions otherwise found\nin the literature.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Combinatorial and homotopical aspects of $E_n$-operads\",\"authors\":\"Christian Schlichtkrull\",\"doi\":\"arxiv-2408.17236\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that a certain class of categorical operads give rise to\\n$E_n$-operads after geometric realization. The main arguments are purely\\ncombinatorial and avoid the technical topological assumptions otherwise found\\nin the literature.\",\"PeriodicalId\":501119,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Topology\",\"volume\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.17236\",\"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 - Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.17236","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Combinatorial and homotopical aspects of $E_n$-operads
We show that a certain class of categorical operads give rise to
$E_n$-operads after geometric realization. The main arguments are purely
combinatorial and avoid the technical topological assumptions otherwise found
in the literature.
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