{"title":"法里-米尔诺定理的六个证明","authors":"Anton Petrunin, Stephan Stadler","doi":"10.1080/00029890.2023.2286224","DOIUrl":null,"url":null,"abstract":"We survey known proofs of the Fáry–Milnor theorem; it states that any nontrivial knot makes at least two full turns.","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"52 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Six Proofs of the Fáry–Milnor Theorem\",\"authors\":\"Anton Petrunin, Stephan Stadler\",\"doi\":\"10.1080/00029890.2023.2286224\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We survey known proofs of the Fáry–Milnor theorem; it states that any nontrivial knot makes at least two full turns.\",\"PeriodicalId\":501497,\"journal\":{\"name\":\"The American Mathematical Monthly\",\"volume\":\"52 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The American Mathematical Monthly\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00029890.2023.2286224\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The American Mathematical Monthly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00029890.2023.2286224","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}