Abstract
In this article we characterize monotone extensions of cw-expansive homeomorphisms of compact metric spaces. For this purpose we introduce the notion “half cw-expansivity” and we study its natural quotient space, specially in the case of compact surfaces. These results are applied to construct new examples of cw-expansive homeomorphisms of compact surfaces with infinitely many fixed points and empty wandering set. These examples are quotients of topological perturbations of pseudo-Anosov diffeomorphisms. We also show that there is a cw-expansive homeomorphism with the shadowing property of the 2-sphere.
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