Time changes for \({\mathbb R}^ n\) flows and suspensions
type: Item
instance of: scholarly article
title: Time changes for \({\mathbb R}^ n\) flows and suspensions
zbMATH Open document ID: 0594.58039
author: Harvey B. Keynes
author: Michael Sears
published in: Pacific Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: We examine properties of flows on compact metric spaces under multi- parameter real actions (i.e., the acting group is \({\mathbb{R}}^ n)\), and the impact of changes of action (time changes) and conjugacies to other flows. These concepts are carefully studied in the case of \({\mathbb{R}}^ n\)-suspensions and a basic framework for the internal structure of suspensions is developed. The structure of minimal \({\mathbb{R}}^ n\) flows which are conjugate to an equicontinuous flow is examined using suspensions, and these flows are shown to be either weak-mixing or equicontinuous under suitable assumptions. Basic properties for the cohomology of time changes are also developed, with the major result indicating when time changes on equicontinuous minimal flows are cohomologous to constant time changes, and the structure of those time changes which themselves yield equicontinuous flows.
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 3956054
zbMATH Keywords: flows on compact metric spaces
zbMATH Keywords: conjugacies
zbMATH Keywords: suspensions
zbMATH Keywords: cohomology of time changes
zbMATH Keywords: minimal flows
MaRDI profile type: Publication
full work available at URL: pjm.1987.130.97
OpenAlex ID: W1997340591
DOI: 10.2140/PJM.1987.130.97
description: scientific article; zbMATH DE number 3956054