For two differentiable maps between two manifolds of possibly different dimensions, the local and global coincidence homology classes are introduced and studied by Bisi-Bracci-Izawa-Suwa (2016) in the framework of Čech-de Rham cohomology. We take up the problem from the combinatorial viewpoint and give some finer results, in particular for the local classes. As to the global class, we clarify the relation with the cohomology coincidence class as studied by Biasi-Libardi-Monis (2015). In fact they introduced such a class in the context of several maps and we also consider this case. In particular we define the local homology class and give some explicit expressions. These all together lead to a generalization of the classical Lefschetz coincidence point formula.

对于两个可能具有不同维数的流形之间的两个可区分的图谱，由Bisi-Bracci-Izawa-Suwa（2016）在Čech-deRham谐函数框架内引入并研究了局部和全局重合同源类。我们从组合的角度解决了这个问题，并给出了更好的结果，特别是对于本地类。关于全局类，我们澄清了与Biasi-Libardi-Monis（2015）研究的同调巧合类的关系。实际上，他们在多个地图的上下文中引入了此类，我们也考虑了这种情况。特别是，我们定义了局部同源性类，并给出了一些明确的表达式。所有这些共同导致了经典Lefschetz重合点公式的推广。