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A characterization of a map whose inverse limit is an arc
Part of:
Topological dynamics
Special properties
Low-dimensional dynamical systems
Maps and general types of spaces defined by maps
Published online by Cambridge University Press: 04 May 2021
Abstract
For a continuous function $f:[0,1] \to [0,1]$ we define a splitting sequence admitted by f and show that the inverse limit of f is an arc if and only if f does not admit a splitting sequence.
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- © The Author(s), 2021. Published by Cambridge University Press
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