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| On the Buchstaber Invariant of Simple Convex 3-Polytopes |
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Citation： |
Dengpin LIU.On the Buchstaber Invariant of Simple Convex 3-Polytopes[J].Chinese Annals of Mathematics B,2013,34(5):697~714 |
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Net amount： 1205 |
Authors： |
Dengpin LIU; |
Foundation： |
National Natural Science Foundation of China (No. 10931005), the ShanghaiNational Natural Science Foundation (No. 10ZR1403600) and the Research Fund for the DoctoralProgram of Higher Education of China (No. 20100071110001). |
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| Abstract： |
In this paper the author gives a method of constructing characteristic matrices,
and uses it to determine the Buchstaber invariants of all simple convex 3-polytopes, which
imply that each simple convex 3-polytope admits a characteristic function. As a further
application of the method, the author also gives a simple new proof of five-color theorem. |
Keywords： |
Simple convex polytope, Characteristic function, Buchstaber invariant |
Classification： |
57S25, 90C10 |
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