Generalization of the Menger's Theorem to Simplicial Complexes and Certain Invariants of the Underlying Topological Spaces

Avraham Goldstein, Yonah Cherniavsky

We extend the edge version of the classical Menger's Theorem for undirected graphs to $n$-dimensional simplicial complexes with chains over the field ${\mathbb{F}}_2$. The classical…