Abstract
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.
Recommended Citation
W. J. Charatonik and A. Samulewicz, "On Size Mappings," Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematics Consortium, Jan 2002.
The definitive version is available at https://doi.org/10.1216/rmjm/1030539607
Department(s)
Mathematics and Statistics
Sponsor(s)
Wroclaw University
Keywords and Phrases
continuum; diameter; monotone; open; size; whitney map
International Standard Serial Number (ISSN)
0035-7596
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2002 Rocky Mountain Mathematics Consortium, All rights reserved.
Publication Date
01 Jan 2002
