Minimal expansive systems and spiral points

TL;DR

This paper proves that minimal expansive homeomorphisms on compact metric spaces imply total disconnectedness and explores the extension of this result to expansive flows.

Contribution

Provides a concise proof of a known result and extends the analysis to expansive flows.

Findings

Minimal expansive homeomorphisms imply total disconnectedness.

Extension of the result to expansive flows is analyzed.

Short proof provided for the known theorem.

Abstract

It is known that if a compact metric space X admits a minimal expansive homeomorphism then X is totally disconnected. In this note we give a short proof of this result and we analyze its extension to expansive flows.