21 citations · 78 across the 16 of their papers we have counts for
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math.DS2023
Non-Hausdorff germinal groupoids for actions of countable groups
Olga Lukina
We study conditions under which the germinal groupoid associated to a minimal equicontinuous action of a countable group on a Cantor set has non-Hausdorff topology. We develop a ne…
math.DS2023★ 2 cited
Prime spectrum and dynamics for nilpotent Cantor actions
Steven Hurder, Olga Lukina
A minimal equicontinuous action by homeomorphisms of a discrete group on a Cantor set is locally quasi-analytic, if each homeomorphism has a unique extension from small ope…
math.DS2023★ 2 cited
Type invariants for non-abelian odometers
Steven Hurder, Olga Lukina
In this work, we introduce the type and typeset invariants for equicontinuous group actions on Cantor sets; that is, for generalized odometers. These invariants are collections of…