8 papers
The answer about Itzkowitz's Problems on FSIN groups
Dekui Peng, Li-Hong Xie, Jiang Yang
A topological group is functionally balanced if every bounded real-valued left uniformly continuous function is right uniformly continuous. We prove that every Hausdorff functional…
Countable uniformly discrete sets in functionally balanced groups
Dekui Peng, Li-Hong Xie, Jiang Yang
We prove that every countable left uniformly discrete subset of a Hausdorff functionally balanced topological group is right thin. As applications, we answer two questions of Bouzi…
Pseudocompact Topological \(MV\)-Algebras
Li-Hong Xie, Jiang Yang
Recently, topological MV-algebras have been investigated by several mathematicians. In this paper, we find that every topological \(MV\)-algebra is a Mal'tsev space introduced by M…
The Hartman--Mycielski construction in topological MV-algebras
Li-Hong Xie, Jiang Yang
Recently, topological MV-algebras have been investigated by several mathematicians. In this paper, we mainly show that for every Hausdorff topological MV-algebra , there exists…
Quotient homomorphisms of Topological MV-Algebras and Applications
Li-Hong Xie, Jiang Yang
For a topological group, the quotient map modulo a subgroup is open and the quotient map modulo a compact subgroup is perfect. In this paper we prove and develop the corresponding…
Lattice-renormalized geometric frustration drives fast ionic transport
Jianmin Yang, Lin Xie
Fast ionic transport is commonly understood from two complementary perspectives: soft lattices that facilitate ion migration, and frustrated ionic sublattices that host multiple ne…