On jointly transitive commuting minimal homeomorphisms

Eli Glasner

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arXiv · 2607.05161

On jointly transitive commuting minimal homeomorphisms

Eli Glasner

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Abstract

In analogy with ergodic theory, we introduce the notions of joint topological transitivity and joint minimality for commuting minimal homeomorphisms on a compact metric space $X$. We prove an analogue of the Berend--Bergelson theorem for the first notion and investigate to what extent this theorem holds for the second.

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Eli Glasner. 2026-07-06. On jointly transitive commuting minimal homeomorphisms. https://arxiv.org/abs/2607.05161

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