On the Buchstaber Invariant of Simple Convex 3-Polytopes  

On the Buchstaber Invariant of Simple Convex 3-Polytopes

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作  者:Dengpin LIU 

机构地区:[1]Department of Mathematics,Fudan University

出  处:《Chinese Annals of Mathematics,Series B》2013年第5期697-714,共18页数学年刊(B辑英文版)

基  金:the National Natural Science Foundation of China(No.10931005);the Shang-hai National Natural Science Foundation(No.10ZR1403600);the Research Fund for the DoctoralProgram of Higher Education of China(No.20100071110001)

摘  要:and uses it imply that application In this paper the author gives a method of constructing characteristic matrices, to determine the Buchstaber invariants of all simple convex 3-polytopes, which each simple convex 3-polytope admits a characteristic function. As a further of the method, the author also gives a simple new proof of five-color theorem.

关 键 词:Simple convex polytope Characteristic function Buchstaber invariant 

分 类 号:O186.12[理学—数学]

 

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