4 papers
Orbit equivalence of Cantor minimal systems
Su Gao, Ruiwen Li, Yiming Sun
In this paper we study the descriptive complexity of the topological orbit equvalence relation for some Borel classes of Cantor minimal systems. Specifically, we study the Borel cl…
Isometry groups and countable groups with the Lévy property
Wei Dai, Su Gao, VÃctor Hugo Yañez
A topological group is said to have the Lévy property if it admits a dense subgroup which is decomposed as the union of an increasing sequence of compact subgroups $\mathcal{G…
Open Problems in Computability Theory and Descriptive Set Theory
George Barmpalias, Nikolay Bazhenov, Chi Tat Chong +11
These open problems were presented in the Problem Sessions held during the Tianyuan Workshop on Computability Theory and Descriptive Set Theory, June 16-20, 2025. The problems are…
Toeplitz subshifts of finite rank
Su Gao, Ruiwen Li, Bo Peng +1
In this paper we study some basic problems about Toeplitz subshifts of finite topological rank. We define the notion of a strong Toeplitz subshift of finite rank by combining t…