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On the \(\omega\)-limit sets of product maps. (English) Zbl 1219.37031
The authors consider the Cartesian product of a finite collection of continuous interval maps. For this dynamical system, they construct the \(\omega\)-limit set, namely the union of the limit points of each orbit. They prove that this set is equal to the Cartesian product of the \(\omega\)-limit sets of the individual components.

MSC:
37E05 Dynamical systems involving maps of the interval (piecewise continuous, continuous, smooth)
54H20 Topological dynamics (MSC2010)
37E99 Low-dimensional dynamical systems
37B99 Topological dynamics
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