Expansiveness of real flows
type: Item
instance of: scholarly article
title: Expansiveness of real flows
zbMATH Open document ID: 0733.54030
author: Masatoshi Oka
published in: Tsukuba Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: A flow F on X is called weakly expansive if F satisfies the property that for any \(\epsilon >0\) there exists \(\delta >0\) with the property that if there exist a pair of points x,y\(\in X\) and a strictly increasing surjective homeomorphism h: \(R\to R\) with \(h(0)=0\) such that \(d(f_ tx,f_{h(t)}y)<\delta\) for every \(t\in R\), then \(f_{h(t_ 0)}y\in f_{(t_ 0-\epsilon,t_ 0+\epsilon)}(\{x\})\) for some \(t_ 0\in R\). Theorem: A weakly expansive flow without fixed points must be an expansive flow.
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 4212997
zbMATH Keywords: weakly expansive flow
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161314
OpenAlex ID: W143152794
DOI: 10.21099/TKBJM/1496161314
description: scientific article; zbMATH DE number 4212997