A note on extensions of dynamical systems from uniform spaces. (Q1426500)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A note on extensions of dynamical systems from uniform spaces. |
scientific article; zbMATH DE number 2056838
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on extensions of dynamical systems from uniform spaces. |
scientific article; zbMATH DE number 2056838 |
Statements
A note on extensions of dynamical systems from uniform spaces. (English)
0 references
14 March 2004
0 references
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.
0 references
dynamical system
0 references
uniform completion
0 references
minimality
0 references
transitivity
0 references
chaos in Devaney's sense
0 references
0.89759994
0 references
0.88443387
0 references
0.8814228
0 references
0.8811449
0 references
0.87817323
0 references
0.8740561
0 references
0.87328446
0 references
