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A Hurewicz theorem for the Assouad-Nagata dimension
Given a function f : X → Y of metric spaces, its asymptotic dimension asdim(f ) is the supremum of asdim(A) such that A ⊂ X and asdim(f (A)) = 0. Our main result is Theorem 0.1.asdim(X) ≤ asdim(f ) + asdim(Y ) for any large scale uniform function f …