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.
翻译:我们为越南- 里普斯同族和半统一空间的同族体学和同族体学证明了昆奈斯理论。 然后我们用图表来解释这个结果, 我们用图表来显示, 昆奈斯定理仪持有与坚固的图形产品有关的图表。 我们最后计算出具有分化半统一结构的横纹结构的越托里斯- 里普斯同族体学。