{"title":"Carathéodory-type Theorems à la Bárány","authors":"BokowskiJürgen, BrachoJavier, StrauszRicardo","doi":"10.5555/1937149.1937153","DOIUrl":null,"url":null,"abstract":"We generalise the famous Helly–Lovasz theorem leading to a generalisation of the Barany–Caratheodory theorem for oriented matroids in dimension ≤3. We also provide a non-metric proof of the latter ...","PeriodicalId":356162,"journal":{"name":"Discrete and Computational Geometry","volume":"91 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete and Computational Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5555/1937149.1937153","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We generalise the famous Helly–Lovasz theorem leading to a generalisation of the Barany–Caratheodory theorem for oriented matroids in dimension ≤3. We also provide a non-metric proof of the latter ...
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