# Inhomogeneities in chainable continua

@article{Anuvsic2020InhomogeneitiesIC, title={Inhomogeneities in chainable continua}, author={Ana Anuvsi'c and Jernej vCinvc}, journal={Fundamenta Mathematicae}, year={2020} }

We study a class of chainable continua which contains, among others, all inverse limit spaces generated by a single interval bonding map which is piecewise monotone and locally eventually onto. Such spaces are realized as attractors of non-hyperbolic surface homeomorphisms. Using dynamical properties of the bonding map, we give conditions for existence of endpoints, characterize the set of local inhomogeneities, and determine when it consists only of endpoints. As a side product we also obtain…

## One Citation

### A characterization of a map whose inverse limit is an arc

- MathematicsErgodic Theory and Dynamical Systems
- 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…

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