2021/12/29 by Michael Megrelishvili, Megrelishvili, Michael · 1 citation
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2112.14615
Our aim is to find some new links between linear (circular) orderability of groups and topological dynamics. We suggest natural analogs of the concept of algebraic orderability for topological groups involving order-preserving actions on compact spaces and the corresponding enveloping semigroups in the sense of R. Ellis. This approach leads to several natural questions. Some of them might be useful also for discrete (countable) orderable groups.