关于Stein猜想的推广

A Generalization About a Conjecture of Stein

利用赋值理论及拓扑学中的Sperner引理证明了如下结论:对于任意多边形K以及由K挖去一些孤立点或折线段后得到的广义多边形K′,K′有奇等面积三角形划分的充分必要条件是K有奇等面积三角形划分。

By using valuation theorem and Sperner lemma in topology,prove that for any polygon K, letting K' be the polygon obtained by deleting some isolated points or some polygonal line segments from K ,P' has odd equidissection if and only if P has odd equidissection.