3 papers
math.GR2026
Remarks on -independent topological groups
Zhouxiang Huang, Dekui Peng, Gao Zhang
A non-trivial topological group is called \emph{-independent} if for every subgroup of cardinality less than the continuum there exists a countable dense subgroup intersecting i…
math.GR2025
The Structure of Sequentially Complete Locally Minimal Groups
Dikran Dikranjan, Wei He, Dekui Peng
Generalizing results from \cite{DTk,DU} we study the fine structure of locally minimal (locally) precompact Abelian groups (these are the locally essential subgroups of LCA gro…
math.GN2024
Constructing Psuedo--fine Precompact Groups
Dekui Peng, Gao Zhang
Let be an uncountable cardinal. The notion of a \emph{-fine} topological group was introduced in 2021. More recently, H. Zhang et al. generalized this concept by defining ps…