7 citations · 7 across the 1 of their papers we have counts for
4 papers
On Polish groups admitting non-essentially countable actions
Alexander S. Kechris, Maciej Malicki, Aristotelis Panagiotopoulos +1
It is a long-standing open question whether every Polish group that is not locally compact admits a Borel action on a standard Borel space whose associated orbit equivalence relati…
Locally Roelcke precompact Polish groups
Joseph Zielinski
A Polish group is said to be locally Roelcke precompact if there is a neighborhood of the identity element that is totally bounded in the Roelcke (or lower) group uniformity. These…
Compact metrizable structures and classification problems
Christian Rosendal, Joseph Zielinski
We introduce and study the framework of compact metric structures and their associated notions of isomorphisms such as homeomorphic and bi-Lipschitz isomorphism. This is subsequent…
An automorphism group of an omega-stable structure that is not locally (OB)
Joseph Zielinski
We observe that there is an example of an automorphism group of a model of an omega-stable theory---in fact, the prime model of an uncountably-categorical theory---that is not loca…