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Symmetric products of absolute Lipschitz retracts
We prove that the Qth symmetric product of an absolute $λ$-Lipschitz retract, equipped with the bottleneck matching metric, is an absolute $(3Q-2)λ$-Lipschitz retract. This answers a question of De Pauw about the target spaces of Almgren's Q-valued maps. The main tool is a reconstruction theorem for
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