21 citations · 78 across the 16 of their papers we have counts for
4 papers · 1 filter
Pro-groups and generalizations of a theorem of Bing
Alex Clark, Steven Hurder, Olga Lukina
A matchbox manifold is a generalized lamination, which is a continuum whose path components define the leaves of a foliation of the space. A matchbox manifold is M-like if it has t…
Galois groups and Cantor actions
Olga Lukina
In this paper, we study the actions of profinite groups on Cantor sets which arise from representations of Galois groups of certain fields of rational functions. Such representatio…
Orbit equivalence and classification of weak solenoids
Steven Hurder, Olga Lukina
In this work, we study minimal equicontinuous actions which are locally quasi-analytic. The first main result shows that for minimal equicontinuous actions which are locally quasi-…
Arboreal Cantor actions
Olga Lukina
In this paper, we consider minimal equicontinuous actions of discrete countably generated groups on Cantor sets, obtained from the arboreal representations of absolute Galois group…