Circle Maps and Inverse Limits
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.
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
Mathematics and Statistics
Article - Journal
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