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Asymptotic properties of the (convex) hyperspaces
Journal: Journal “Proceedings of the International Geometry Center” (Vol.8, No. 3)Publication Date: 2015-09-01
Authors : Mykhailo Zarichnyi; Mykhailo Romanskyi;
Page : 60-65
Keywords : Hyperspace; convex set; coarse equivalence;
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Abstract
It is known that the hyperspaces of compact sets and compact convex set of the Euclidean space R n, n ≥ 2, both are homeomorphic to the puctured Hilbert cube.The main result of this note states that these hyperspaces are not coarsely equivalent.
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