2 papers
math.DS2023
Inner-Distal Homeomorphisms and Measures
J. Aponte, D. Carrasco-Olivera, H. Villavicencio
An inner-distal homeomorphism is one such that each of its proximal cells has empty interior. In locally connected spaces, we prove these homeomorphisms have the following properti…
math.DS2017
Shadowable Points for flows
Jesús Aponte, Helmuth Villavicencio
A shadowable point for a flow is a point where the shadowing lemma holds for pseudo-orbits passing through it. We prove that this concept satisfies the following properties: the se…