Inverses, powers and cartesian products of topologically deterministic maps

Michael Hochman*, Artur Siemaszko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We show that if (X, T) is a topological dynamical system which is deterministic in the sense of Kamiński, Siemaszko and Szymański then (X, T -1) and (X × X, T × T) need not be deterministic in this sense. However if (X × X, T × T) is deterministic then (X, T n) is deterministic for all n ∈ ℕ \ {0}.

Original languageAmerican English
Pages (from-to)189-198
Number of pages10
JournalTopological Methods in Nonlinear Analysis
Volume39
Issue number1
StatePublished - 2012
Externally publishedYes

Keywords

  • Recurrence
  • Topological determinism
  • Topological dynamics

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