Graph covers of higher dimensional dynamical systems

TL;DR

This paper extends the concept of graph covers from zero-dimensional dynamical systems to more general dynamical systems, broadening the scope of analysis using graph-theoretic methods.

Contribution

It introduces a generalized framework for graph covers applicable to higher-dimensional dynamical systems, expanding the theoretical tools available.

Findings

Unified approach to graph covers in higher dimensions

Potential applications in complex dynamical systems analysis

Foundation for future research in dynamical systems topology

Abstract

We generalize the notion of an inverse sequence of graph covers from the zero-dimensional dynamical systems to any dynamical system.