{"title":"物理二元范畴的弦图","authors":"Mario Román","doi":"arxiv-2406.19816","DOIUrl":null,"url":null,"abstract":"We introduce string diagrams for physical duoidal categories (normal\n$\\otimes$-symmetric duoidal categories): they consist of string diagrams with\nwires forming a zigzag-free partial order and order-preserving nodes whose\ninputs and outputs form intervals.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":"59 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"String Diagrams for Physical Duoidal Categories\",\"authors\":\"Mario Román\",\"doi\":\"arxiv-2406.19816\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce string diagrams for physical duoidal categories (normal\\n$\\\\otimes$-symmetric duoidal categories): they consist of string diagrams with\\nwires forming a zigzag-free partial order and order-preserving nodes whose\\ninputs and outputs form intervals.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":\"59 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-28\",\"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-2406.19816\",\"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-2406.19816","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We introduce string diagrams for physical duoidal categories (normal
$\otimes$-symmetric duoidal categories): they consist of string diagrams with
wires forming a zigzag-free partial order and order-preserving nodes whose
inputs and outputs form intervals.
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