Title

Limit Properties of Induced Mappings

Abstract

Given a class of mappings f between continua, near- stands for the class of uniform limits of sequences of mappings from . Let 2f and C(f) mean the induced mappings between hyperspaces. Relations are studied between the conditions: f near- , 2f near- and C(f) near- . A special attention is paid to the classes of open and of monotone mappings.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; induced mapping; monotone; near-monotone; near-open; open

Library of Congress Subject Headings

Homeomorphisms
Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 Elsevier, All rights reserved.


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