Characterization of Quasifactors

TL;DR

This paper investigates quasifactors, which are minimal subsystems of the induced flow on the hyperspace, by analyzing almost periodic points to understand their structure and properties.

Contribution

It introduces a new approach to studying quasifactors through the lens of almost periodic points in the hyperspace flow.

Findings

Quasifactors are characterized as minimal subsystems of the hyperspace flow.

Almost periodic points play a key role in understanding quasifactors.

The study provides insights into the structure of quasifactors in dynamical systems.

Abstract

A flow $(X,T)$ induces the flow $(2^X,T)$. Quasifactors are minimal subsystems of $(2^X, T)$ and hence orbit closures of almost periodic points for $(2^X, T)$. We study quasifactors via the almost periodic points for $(2^X,T)$.