论文标题
Kunneth定理越越野河流同源
Kunneth Theorems for Vietoris-Rips Homology
论文作者
论文摘要
我们证明了一个半均匀空间的越野式 - 里普斯同源性和同源性的kunneth定理。然后，我们将此结果解释为图形，在其中我们表明Kunneth Theorem对于强图产品而言是图形的。我们通过计算带有不同半均匀结构的圆环的越野河流的共同体结束。
We prove a Kunneth theorem for the Vietoris-Rips homology and cohomology of a semi-uniform space. We then interpret this result for graphs, where we show that the Kunneth theorem holds for graphs with respect to the strong graph product. We finish by computing the Vietoris-Rips cohomology of the torus endowed with diferent semi-uniform structures.
