Topological Stability for Flows from a Gromov–Hausdorff Viewpoint

Chulluncuy A. · Bulletin of the Brazilian Mathematical Society (2022) · DOI: 10.1007/s00574-021-00260-x

Resumen

In this paper we propose a definition of a distance between flows of possibly different metric spaces. This notion is then combined with the concept of topologically stable flow to obtain the notion of σ-topologically GH-stable flow. Afterwards, we prove that an expansive flow of a compact metric space, with the pseudo-orbit tracing property, and without singularities is σ-topologically GH-stable.

Instituciones: Universidad Nacional de Ingeniería