{"title":"Characterisation of Lawvere-Tierney Topologies on Simplicial Sets, Bicolored Graphs, and Fuzzy Sets","authors":"Aloïs Rosset, Helle Hvid Hansen, Jörg Endrullis","doi":"arxiv-2407.04535","DOIUrl":null,"url":null,"abstract":"Simplicial sets generalize many categories of graphs. In this paper, we give\na complete characterization of the Lawvere-Tierney topologies on\n(semi-)simplicial sets, on bicolored graphs, and on fuzzy sets. We apply our\nresults to establish that 'partially simple' simplicial sets and 'partially\nsimple' graphs form quasitoposes.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-05","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-2407.04535","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Simplicial sets generalize many categories of graphs. In this paper, we give
a complete characterization of the Lawvere-Tierney topologies on
(semi-)simplicial sets, on bicolored graphs, and on fuzzy sets. We apply our
results to establish that 'partially simple' simplicial sets and 'partially
simple' graphs form quasitoposes.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
