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.
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References
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Project supported by the National Natural Science Foundation of China (No. 10931005), the Shanghai National Natural Science Foundation (No. 10ZR1403600) and the Research Fund for the Doctoral Program of Higher Education of China (No. 20100071110001).
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Liu, D. On the Buchstaber invariant of simple convex 3-polytopes. Chin. Ann. Math. Ser. B 34, 697–714 (2013). https://doi.org/10.1007/s11401-013-0793-9
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DOI: https://doi.org/10.1007/s11401-013-0793-9