77 citations · 223 across the 63 of their papers we have counts for
6 papers · 2 filters
Translation-finite sets
Eli Glasner
The families of right (left) translation finite subsets of a discrete infinite group are defined and shown to be ideals. Their kernels and are identified as the clo…
Extensions of Cantor minimal systems and dimension groups
Eli Glasner, Bernard Host
Given a factor map of Cantor minimal systems, we study the relations between the dimension groups of the two systems. First, we interpret the torsion subgroup…
Recurrence for stationary group actions
Hillel Furstenberg, Eli Glasner
Using a structure theorem from [FG2010] we prove a version of multiple recurrence for sets of positive measure in a general stationary dynamical system.
Minimal hyperspace actions of homeomorphism groups of h-homogeneous spaces
Eli Glasner, Yonatan Gutman
Let X be a h-homogeneous zero-dimensional compact Hausdorff space, i.e. X is a Stone dual of a homogeneous Boolean algebra. Using the dual Ramsey theorem and a detailed combinatori…
The universal minimal space for groups of homeomorphisms of h-homogeneous spaces
Eli Glasner, Yonatan Gutman
Let X be a h-homogeneous zero-dimensional compact Hausdorff space, i.e. X is a Stone dual of a homogeneous Boolean algebra. It is shown that the universal minimal space M(G) of the…
Three Zutot
Eli Glasner, Benjamin Weiss
Three topics in dynamical systems are discussed. In the first two sections we solve some open problems concerning, respectively, Furstenberg entropy of stationary dynamical systems…