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Vietoris-Rips complexes of affine Coxeter groups
We prove that all affine Coxeter groups admit contractible Vietoris-Rips complexes. More precisely, for any affine Coxeter group $W_a$ there exists a finite generating set $A$ such that $\mathcal{VR}_t(W_a;A)$ is contractible for all $t\ge 1$. We prove this as a special case of a more general result
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