3 papers
math.OA2026
Dynamical Perturbing and -algebra Lifting Problems
Samantha Pilgrim
Approximate morphisms have seen significant study across many areas of mathematics, for instance, in the theory of Absolute (Neighborhood) Retracts in topology, or of almost-commut…
math.GR2025
A Hurewicz-type Theorem for the Dynamic Asymptotic Dimension with Applications to Coarse Geometry and Dynamics
Samantha Pilgrim
We prove a Hurewicz-type theorem for the dynamic asymptotic dimension originally introduced by Guentner, Willett, and Yu. Calculations of (or simply upper bounds on) this dimension…
math.DS2025
Topological Rigidity of the Dynamic Asymptotic Dimension
Samantha Pilgrim
We show for a free action of a countable group on a finite-dimensional, compact metric space by homeomorphisms that the dynamic asymptotic dimension is either infinite or coin…