9 citations · 38 across the 21 of their papers we have counts for
24 papers
Equivariant embedding of finite-dimensional dynamical systems
Yonatan Gutman, Michael Levin, Tom Meyerovitch
We prove an equivariant version of the classical Menger-Nobeling theorem regarding topological embeddings: Whenever a group acts on a finite-dimensional compact metric space $X…
Mardesic factorization theorem for asymptotic dimension
Jerzy Dydak, Michael Levin, Jeremy Siegert
The main goal of this note is to prove a coarse analogue of Factorization Theorems in Dimension Theory: Let be a coarsely continuous map. Then factors thro…
On p-adic actions raising dimension by 2
Michael Levin
Raymond and Wiliams constructed an action of the p-adic integers on an n-dimensional compactum, n>1, with the orbit space of dimension n+2. The author earlier presented a simplifie…
On actions of abelian Cantor groups
Michael Levin
By a Cantor group we mean a topological group homeomorphic to the Cantor set. The author earlier proved that every compact metric space of rational cohomological dimension n can be…
On Raymond-Williams' example
Michael Levin
Raymond and Wiliams in "Examples of p-adic transformation groups", Ann. of Math. (2) 78 (1963) 92-106, constructed an action of the p-adic integers on an n-dimensional compactum, n…
Resolving compacta by free p-adic actions
Michael Levin
In this paper we study compacta Y that are resolvable by a free p-adic action on a compactum of a lower dimension and focus on compacta Y whose cohomological dimension with respect…