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The asymptotic geometry of right-angled Artin groups, I

The asymptotic geometry of right-angled Artin groups, I

We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset which is locally flat outside a compact set, and asymptotically conical.