Title

On Size Mappings

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.

Department(s)

Mathematics and Statistics

Sponsor(s)

Wroclaw University

Keywords and Phrases

continuum; diameter; monotone; open; size; whitney map

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Rocky Mountain Math Consortium, All rights reserved.


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