An expansive homeomorphism of a 3-manifold with a local stable set that is not locally connected
Volume 245 / 2019
Fundamenta Mathematicae 245 (2019), 167-174
MSC: Primary 37B45; Secondary 37B05.
DOI: 10.4064/fm515-8-2018
Published online: 6 February 2019
Abstract
We construct an expansive homeomorphism of a compact three-dimensional manifold with a fixed point whose local stable set is not locally connected. This homeomorphism is obtained as a topological perturbation of a quasi-Anosov diffeomorphism that is not Anosov.
