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Full-Text Articles in Physical Sciences and Mathematics
On Size Mappings, W. J. Charatonik, Alicja Samulewicz
On Size Mappings, W. J. Charatonik, Alicja Samulewicz
Mathematics and Statistics Faculty Research & Creative Works
A real-valued mapping r from the hyperspace of all compact subsets of a givenmetric space X is called a size mapping if r({x}) = 0 for x ∈ X and r(A) ≤ r(B) if a ⊂ B. We investigate what continua admit an open or a monotone size mapping. Special attention is paid to the diameter mappings.