Movability and limits of polyhedra
V. Laguna, M. Moron, Nhu Nguyen, J. Sanjurjo (1993)
Fundamenta Mathematicae
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We define a metric , called the shape metric, on the hyperspace of all non-empty compact subsets of a metric space X. Using it we prove that a compactum X in the Hilbert cube is movable if and only if X is the limit of a sequence of polyhedra in the shape metric. This fact is applied to show that the hyperspace , dS)2ℝ2