Circle Maps and Inverse Limits
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
