2 citations · 7 across the 15 of their papers we have counts for
15 papers
On the complexity of extensions of non-archimedean Polish groups admitting a compatible complete left-invariant metric
Longyun Ding, Xu Wang
In this article, motivated by a problem asked by Allison and Panagiotopoulos, we study a problem concerning the complexity of group extensions within a hierarchy (denoted by -CL…
Complete orbit equivalence relation and non-universal Polish groups
Longyun Ding, Ruiwen Li, Bo Peng
We show that a non-universal Polish group can induce a complete orbit equivalence relation, which answers a question of Sabok from \cite{OPENPROBLEMS}.
On equivalence relations induced by Polish groups admitting compatible two-sided invariant metrics
Longyun Ding, Yang Zheng
Given a Polish group , let be the right coset equivalence relation , where is the group of all convergent sequences in . We first established two resu…
A hierarchy on non-archimedean Polish groups admitting a compatible complete left-invariant metric
Longyun Ding, Xu Wang
In this article, we introduce a hierarchy on the class of non-archimedean Polish groups that admit a compatible complete left-invariant metric. We denote this hierarchy by -CLI…
On equivalence relations induced by locally compact abelian Polish groups
Longyun Ding, Yang Zheng
Given a Polish group , let be the right coset equivalence relation , where is the group of all convergent sequences in . The connected component of th…
On equivalence relations induced by Polish groups
Longyun Ding, Yang Zheng
The motivation of this article is to introduce a kind of orbit equivalence relations which can well describe structures and properties of Polish groups from the perspective of Bore…