13 citations · 13 across the 1 of their papers we have counts for
3 papers
math.DS2016★ 13 cited
Molino theory for matchbox manifolds
Jessica Dyer, Steven Hurder, Olga Lukina
A matchbox manifold is a foliated space with totally disconnected transversals, and an equicontinuous matchbox manifold is the generalization of Riemannian foliations for smooth ma…
math.DS2016
Growth and homogeneity of matchbox manifolds
Jessica Dyer, Steven Hurder, Olga Lukina
A matchbox manifold with one-dimensional leaves which has equicontinuous holonomy dynamics must be a homogeneous space, and so must be homeomorphic to a classical Vietoris solenoid…
math.DS2015
The discriminant invariant of Cantor group actions
Jessica Dyer, Steve Hurder, Olga Lukina
In this work, we investigate the dynamical and geometric properties of weak solenoids, as part of the development of a "calculus of group chains" associated to Cantor minimal actio…