Mappings between Inverse Limits of Continua with Multivalued Bonding Functions

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow
Robert Paul Roe, Missouri University of Science and TechnologyFollow

Abstract

We investigate the limit mappings between inverse limits of continua with upper semi-continuous bonding functions. Results are obtained when the coordinate mappings are surjective, one-to-one or homeomorphisms. We construct examples showing the hypothesis of the theorems are essential. Further, we construct an example showing that, unlike for the inverse limits with single valued maps, properties of being monotone, confluent or weakly confluent mappings between factor spaces are not preserved in the inverse limit map.

Recommended Citation

W. J. Charatonik and R. P. Roe, "Mappings between Inverse Limits of Continua with Multivalued Bonding Functions," Topology and its Applications, Elsevier, Jan 2012.

The definitive version is available at https://doi.org/10.1016/j.topol.2011.09.008

Department(s)

Mathematics and Statistics

Keywords and Phrases

Continuum; Inverse Limit; Limit Mapping; Set-valued Functions

International Standard Serial Number (ISSN)

0166-8641

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 Elsevier, All rights reserved.

Publication Date

01 Jan 2012