Circle Maps and Inverse Limits

Author

Marcy Barge
Robert Paul Roe, Missouri University of Science and TechnologyFollow

Abstract

The results of this paper relate the dynamics of a continuous map ƒ of the circle and the topology of the inverse limit space with bonding map ƒ. When the dynamics of ƒ are "chaotic” the inverse limit space contains indecomposable subcontinua. The converse is also true if ƒ has finitely many turning points.

Recommended Citation

M. Barge and R. P. Roe, "Circle Maps and Inverse Limits," Topology and its Applications, Elsevier, Jan 1990.

The definitive version is available at https://doi.org/10.1016/0166-8641(90)90032-W

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0166-8641

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1990 Elsevier, All rights reserved.

Publication Date

01 Jan 1990