Title

Inverse Limits and Openness of the Induced Mappings

Abstract

The pointed versions of exactness of commutative diagrams and of exactness and limit exactness of mappings between inverse systems are introduced. These concepts are used to investigate interiority of a limit mapping between inverse limits of topological spaces. The obtained results are applied to show openness of some induced mappings between hyperspaces.

Department(s)

Mathematics and Statistics

Keywords and Phrases

exact diagram; induced mapping; inverse limit; inverse system; limit mapping; open mapping

Library of Congress Subject Headings

Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Elsevier, All rights reserved.

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