Topologically mixing extensions of endomorphisms on Polish groups
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https://riunet.upv.es/handle/10251/182894
Cita bibliográfica
Burke, J.; Pinheiro, L. (2022). Topologically mixing extensions of endomorphisms on Polish groups. Applied General Topology. 23(1):179-187. https://doi.org/10.4995/agt.2022.15187
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[EN] In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing. We prove that any continuous endomorphism of an abelian Polish group can be extended in a natural way to a topologically mixing endomorphism on the countable infinite product of said group.
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Applied General Topology issn: 1576-9402