Minimality for actions of abelian semigroups on compact spaces with a free interval
Dynamical Systems
2018-02-15 v2
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.
Keywords
Cite
@article{arxiv.1703.10445,
title = {Minimality for actions of abelian semigroups on compact spaces with a free interval},
author = {Matúš Dirbák and Roman Hric and Peter Maličký and Ľubomír Snoha and Vladimír Špitalský},
journal= {arXiv preprint arXiv:1703.10445},
year = {2018}
}