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On the Buchstaber Invariant of Simple Convex 3-Polytopes

On the Buchstaber Invariant of Simple Convex 3-Polytopes
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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.
作者 Dengpin LIU
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 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)
关键词 Simple convex polytope Characteristic function Buchstaber invariant 凸多面体 应用程序 特征矩阵 特征函数
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参考文献6

  • 1Buchstaber, V. M. and Panov, T. E., Torus actions and their applications in topology and combinatorics, University Lecture Series, Vol. 24, Amer. Math. Soc., Providence, RI, 2002.
  • 2Davis, M. and Januszkiewicz, T., Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J., 61, 1991, 417-451.
  • 3Erokhovets, N., Buchstaber invariant of simple, arXiv: 0908.3407.
  • 4Fukukawa, Y. and Masuda, M., Buchstaber invariant of skeleta of a simplex, arXiv: 0908.3448.
  • 5Griinbaum, B., Convex polytopes, Bull. London Math. Soc., 1, 1969, 257-300.
  • 6Lu, Z. and Yu, 1., Topological types of 3-dimensional small covers, Forum Math., 23,2011, 245-284.

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