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García-Ferreira, S.; Sanchis, M.
Quaestiones mathematicae, 09/2017, Letnik: 40, Številka: 6Journal Article
We introduce the Ellis semigroup of a nonautonomous discrete dynamical system (X, f 1,∞ ) when X is a metric compact space. The underlying set of this semigroup is the pointwise closure of in the space X X . By using the convergence of a sequence of points with respect to an ultrafilter it is possible to give a precise description of the semigroup and its operation. This notion extends the classical Ellis semigroup of a discrete dynamical system. We show several properties that connect this semigroup and the topological properties of the nonautonomous discrete dynamical system.
