Title

Remarks on Induced Universal Mappings

Abstract

A mapping between topological spaces is universal if it has a coincidence point with any mapping between the spaces. Given a mapping f between continua X and Y we done by 2f (by C(f)) the induced mappings between hyperspaces of all nonempty compact subsets (of all nonempty subcontinua) of X and Y, respectively. Conditions are discussed under which the induced mappings are universal. Some examples are constructed and questions are asked.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; induced mappings; monotone; universal mapping

Library of Congress Subject Headings

Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2000 Topology Atlas, All rights reserved.

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