{"title":"n立方的塔克引理的组合证明","authors":"James K. Baker","doi":"10.1016/S0021-9800(70)80081-3","DOIUrl":null,"url":null,"abstract":"<div><p>Tucker's lemma is a combinatorial result which may be used to derive several theorems in topology. Some basic properties are established for the cube of integer lattice points. Tucker's lemma is then proved by applying a result which was originally presented for the octahedral subdivision of the <em>n</em>-disk.</p></div>","PeriodicalId":100765,"journal":{"name":"Journal of Combinatorial Theory","volume":"8 3","pages":"Pages 279-290"},"PeriodicalIF":0.0000,"publicationDate":"1970-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80081-3","citationCount":"7","resultStr":"{\"title\":\"A combinatorial proof of Tucker's lemma for the n-cube\",\"authors\":\"James K. Baker\",\"doi\":\"10.1016/S0021-9800(70)80081-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Tucker's lemma is a combinatorial result which may be used to derive several theorems in topology. Some basic properties are established for the cube of integer lattice points. Tucker's lemma is then proved by applying a result which was originally presented for the octahedral subdivision of the <em>n</em>-disk.</p></div>\",\"PeriodicalId\":100765,\"journal\":{\"name\":\"Journal of Combinatorial Theory\",\"volume\":\"8 3\",\"pages\":\"Pages 279-290\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1970-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80081-3\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorial Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021980070800813\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021980070800813","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A combinatorial proof of Tucker's lemma for the n-cube
Tucker's lemma is a combinatorial result which may be used to derive several theorems in topology. Some basic properties are established for the cube of integer lattice points. Tucker's lemma is then proved by applying a result which was originally presented for the octahedral subdivision of the n-disk.
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