Consider the set K of all nonempty compact subsets of a compact metric space (M, d), endowed with the Hausdorff metric. In this paper, we prove that K is isometric to a subset of l∞(ℝ). An approximation result is also proved. © 2002 Elsevier Science Ltd. All rights reserved.
Frosini P. (2002). A note on the representability of compact sets by real sequences. APPLIED MATHEMATICS LETTERS, 15(8), 931-935 [10.1016/S0893-9659(02)00066-6].
A note on the representability of compact sets by real sequences
Frosini P.
2002
Abstract
Consider the set K of all nonempty compact subsets of a compact metric space (M, d), endowed with the Hausdorff metric. In this paper, we prove that K is isometric to a subset of l∞(ℝ). An approximation result is also proved. © 2002 Elsevier Science Ltd. All rights reserved.File in questo prodotto:
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