TY - JOUR
T1 - Inverses, powers and cartesian products of topologically deterministic maps
AU - Hochman, Michael
AU - Siemaszko, Artur
PY - 2012
Y1 - 2012
N2 - 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}.
AB - 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}.
KW - Recurrence
KW - Topological determinism
KW - Topological dynamics
UR - http://www.scopus.com/inward/record.url?scp=84857810094&partnerID=8YFLogxK
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AN - SCOPUS:84857810094
SN - 1230-3429
VL - 39
SP - 189
EP - 198
JO - Topological Methods in Nonlinear Analysis
JF - Topological Methods in Nonlinear Analysis
IS - 1
ER -