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Euler characteristic conjecture for covering configuration spaces of 2D and 3D grid domains
Let $G_A$ be a 2D or 3D grid domain with $A$ cells, and let $\mathtt{Cov}_{G_A}(A+1)$ denote the covering configuration space for $A+1$ agents. Write $\chi(G_A)$ for the Euler char…
Conjectureopenconfiguration-spaces euler-characteristic topological-roboticsarXiv posted 2 days ago

Euler characteristic conjecture for covering configuration spaces of 2D and 3D grid domains