19 citations · 120 across the 58 of their papers we have counts for
4 papers · 1 filter
Generic algebraic properties in spaces of enumerated groups
Isaac Goldbring, Srivatsav Kunnawalkam Elayavalli, Yash Lodha
We introduce and study Polish topologies on various spaces of countable enumerated groups, where an enumerated group is simply a group whose underlying set is the set of natural nu…
On the nonexistence of Følner sets
Isaac Goldbring
We show that there is , a finite system of equations and inequations having a solution in some group, where has length , and su…
Boundary amenability of groups via ultrapowers
Stephen Avsec, Isaac Goldbring
We use -algebra ultrapowers to give a new construction of the Stone-Cech compactification of a separable, locally compact space. We use this construction to give…
Ends of groups: a nonstandard perspective
Isaac Goldbring
We give a nonstandard treatment of the notion of ends of proper geodesic metric spaces. We then apply this nonstandard treatment to Cayley graphs of finitely generated groups and g…