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Fernández Laguna, Víctor ; Morón, Manuel A. ; Nhu, Nguyen Tho ; Rodríguez Sanjurjo, José Manuel | Polish acad sciences inst mathematics | 1993We define a metric d(S), called the shape metric, on the hyperspace 2X 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 polyh[...]texto impreso
Nhu, Nguyen Tho ; Rodríguez Sanjurjo, José Manuel ; Van An, Tran | American Mathematical Society | 1997-10In this second part of our paper, we apply the result of Part 1 to show that the compact convex set with no extreme points, constructed by Roberts (1977), is an AR.
