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We consider a family of dynamical systems defined on a noncompact metric space andcontinuously depending on a parameter varying in some metric space. For any such family, thetopological entropy of the dynamical systems in the family is studied as a function of theparameter from the viewpoint of the Baire classification of functions.

Some Properties of the Topological Entropy of a Family of Dynamical Systems Defined on an Arbitrary Metric Space