{"title":"多面体代数的精辟论述","authors":"F. Castillo","doi":"10.1142/9789811200489_0007","DOIUrl":null,"url":null,"abstract":"This is a hands on introduction to McMullen’s Polytope Algebra. More than interesting on its own, this algebra was McMullen’s tool to give a combinatorial proof of the g-theorem.","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A pithy look at the polytope algebra\",\"authors\":\"F. Castillo\",\"doi\":\"10.1142/9789811200489_0007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is a hands on introduction to McMullen’s Polytope Algebra. More than interesting on its own, this algebra was McMullen’s tool to give a combinatorial proof of the g-theorem.\",\"PeriodicalId\":322478,\"journal\":{\"name\":\"Algebraic and Geometric Combinatorics on Lattice Polytopes\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebraic and Geometric Combinatorics on Lattice Polytopes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9789811200489_0007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebraic and Geometric Combinatorics on Lattice Polytopes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811200489_0007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This is a hands on introduction to McMullen’s Polytope Algebra. More than interesting on its own, this algebra was McMullen’s tool to give a combinatorial proof of the g-theorem.
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