A note on extensions of dynamical systems from uniform spaces.
type: Item
instance of: scholarly article
title: A note on extensions of dynamical systems from uniform spaces.
zbMATH Open document ID: 1056.54037
DOI: 10.1016/S0166-8641(03)00194-9
author: D. Alcaraz
author: Manuel Sanchis
published in: Topology and its Applications
publication date: 2004-03-14T00:00:00Z
review text: The paper introduces extensions of dynamical systems using completions of totally bounded uniform spaces. This construction is motivated by \textit{T. Pennings} and \textit{J. Peters} [Proc. Am. Math. Soc. 105, No. 1, 80--86 (1989; Zbl 0674.43003)] and based on \textit{F. Garibay} and \textit{M. Sanchis} and \textit{R. Vera} [Rend. Ist. Mat. Univ. Trieste 32, Suppl. 2, 47--57 (2001; Zbl 1007.54022)]. It is shown that transitivity, minimality and Devaney's chaos are preserved.
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 2056838
zbMATH Keywords: dynamical system
zbMATH Keywords: uniform completion
zbMATH Keywords: minimality
zbMATH Keywords: transitivity
zbMATH Keywords: chaos in Devaney's sense
MaRDI profile type: Publication
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full work available at URL: s0166-8641(03)00194-9
OpenAlex ID: W2021152356
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description: scientific article; zbMATH DE number 2056838