The higher characteristics w_m(G) for a finite abstract simplicial complex G are topological invariants that satisfy k-point Green function identities and can be computed in terms of Euler characteristic in the case of closed manifolds, where we give a new proof of w_m(G)=w_1(G). Also the sphere formula generalizes: for any simplicial complex, the total higher characteristics of unit spheres at even dimensional simplices is equal to the total higher characteristic of unit spheres at odd dimensional simplices.

翻译：有限抽象简化复合物G的较高特性w_m(G)是满足k点绿色功能特性的表层变量,在闭合的元体中,可以用Euler特性计算,我们在此提供新的W_m(G)=w_1(G)的证据。 球形公式还概括了:对于任何简化复合物,单体的单体表面的全高特性等于奇特的维模灵球体中单位区域的总较高特性。