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arXiv · 1703.10445

Minimality for actions of abelian semigroups on compact spaces with a free interval

Matúš Dirbák·Roman Hric·Peter Maličký·Ľubomír Snoha·Vladimír Špitalský
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Abstract

We study minimality for continuous actions of abelian semigroups on compact Hausdorff spaces with a free interval. First, we give a necessary and sufficient condition for such a space to admit a minimal action of a given abelian semigroup. Further, for actions of abelian semigroups we provide a trichotomy for the topological structure of minimal sets intersecting a free interval.

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Matúš Dirbák, Roman Hric, Peter Maličký, Ľubomír Snoha, Vladimír Špitalský. 2017-03-30. Minimality for actions of abelian semigroups on compact spaces with a free interval. https://arxiv.org/abs/1703.10445

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