9 papers
Three Problems on Separable Quotients of Precompact Abelian Groups
Li-Hong Xie, Jiang Yang
We address three problems on separable quotients of topological groups posed by Leiderman, Morris, and Tkachenko in \cite{LMT} published on Israel Journal of Mathematics. First, we…
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…
The quotient spaces of topological groups with a -point
Li-Hong Xie, Hai-Hua Lin, Piyu Li
In this paper, we study the uniformities on the double coset spaces in topological groups. As an implication, the quotient spaces of topological groups with a -point are studied…
Some characterizations of -balanced topological groups with a -point
Deng-Bin Chen, Hai-Hua Lin, Li-Hong Xie
In this paper, we study some characterizations of -spaces, strict -spaces and strong -spaces under -balanced topological groups as follows: (1) A topological group …