{"title":"图形和组合 HHS 的因子系统","authors":"Jihoon Park","doi":"arxiv-2409.08663","DOIUrl":null,"url":null,"abstract":"We relaxe the constraint on the domains of combinatorial HHS machinery so\ncombinatorial HHS machinery works for most cubical curve graphs. As an\napplication we extend the factor system machinery of the CAT(0) cube complex to\nthe quasi-median graphs.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Factor system for graphs and combinatorial HHS\",\"authors\":\"Jihoon Park\",\"doi\":\"arxiv-2409.08663\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We relaxe the constraint on the domains of combinatorial HHS machinery so\\ncombinatorial HHS machinery works for most cubical curve graphs. As an\\napplication we extend the factor system machinery of the CAT(0) cube complex to\\nthe quasi-median graphs.\",\"PeriodicalId\":501271,\"journal\":{\"name\":\"arXiv - MATH - Geometric Topology\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Geometric Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.08663\",\"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 - Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08663","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We relaxe the constraint on the domains of combinatorial HHS machinery so
combinatorial HHS machinery works for most cubical curve graphs. As an
application we extend the factor system machinery of the CAT(0) cube complex to
the quasi-median graphs.
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