Inverse Limits and Openness of the Induced Mappings

Author

J. J. Charatonik
W. J. Charatonik, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

J. J. Charatonik and W. J. Charatonik, "Inverse Limits and Openness of the Induced Mappings," Topology and its Applications, Elsevier, Aug 2001.

The definitive version is available at https://doi.org/10.1016/S0166-8641(00)00044-4

Department(s)

Mathematics and Statistics

Keywords and Phrases

Exact Diagram; Induced Mapping; Inverse Limit; Inverse System; Limit Mapping; Open Mapping; Hyperspace

International Standard Serial Number (ISSN)

0166-8641

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Elsevier, All rights reserved.

Publication Date

01 Aug 2001