3 papers
math.DS2023
Open questions in descriptive set theory and dynamical systems
Jérôme Buzzi, Nishant Chandgotia, Matthew Foreman +6
This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff,…
math.DS2022
Anti-classification results for smooth dynamical systems. Preliminary Report
Matthew Foreman, Anton Gorodetski
The paper considers the equivalence relation of conjugacy-by-homeomorphism on diffeomorphisms of smooth manifolds. In dimension 2 and above it is shown that there is no Borel metho…
math.LO1995
On invariants for omega_1-separable groups
Paul C. Eklof, Matthew Foreman, Saharon Shelah
We study the classification of omega_1-separable groups using Ehrenfeucht-Fraisse games and prove a strong classification result assuming PFA, and a strong non-structure theorem as…