{"title":"The Weak and Strong Case","authors":"R. Schwartz","doi":"10.2307/j.ctv5rf6tz.29","DOIUrl":null,"url":null,"abstract":"This chapter completes the proof of the weak and strong case of the Copy Lemma. The two cases have just about the same proof. Section 25.2 proves the first two statements of the Copy Lemma. The rest of the chapter is devoted to proving the third statement. Section 25.3 proves an easy technical lemma. Section 25.4 repackages some of the results from Section 1.5. Two sequences are assigned to each rectangle in the plane: a mass sequence and a capacity sequence. It is established that these sequences determine the structure of the plaid model inside the rectangle. Section 25.5 proves a technical result about vertical light points. The final section verifies the conditions of the Matching Criterion.","PeriodicalId":205299,"journal":{"name":"The Plaid Model","volume":"81 9","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Plaid Model","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2307/j.ctv5rf6tz.29","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
This chapter completes the proof of the weak and strong case of the Copy Lemma. The two cases have just about the same proof. Section 25.2 proves the first two statements of the Copy Lemma. The rest of the chapter is devoted to proving the third statement. Section 25.3 proves an easy technical lemma. Section 25.4 repackages some of the results from Section 1.5. Two sequences are assigned to each rectangle in the plane: a mass sequence and a capacity sequence. It is established that these sequences determine the structure of the plaid model inside the rectangle. Section 25.5 proves a technical result about vertical light points. The final section verifies the conditions of the Matching Criterion.
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