3 problems

Conjecture 1. As $N,M\to\infty$,

Let $G$ and $H$ be directed graphs, and let $G\squarediv H$ denote their strong product. A Künneth theorem for path homology would describe the path homology of $G\squarediv H$ in…

Let $\mathbf{D}$ denote the square disk with product representation $\mathbf{D}\simeq[0,1]\times[0,1]$, and let $H^p([0,1],\widetilde{\mathcal{F}})$ denote the sheaf cohomology gro…