6 papers · 1 filter
Residual profiles and bounded generation in pro- completions of amalgamated products
Dekui Peng, Jiang Yang
This paper completely classifies when the pro- completion of an amalgamated product has bounded generation, assuming its starting vertex groups are already boundedly generated.…
Shadowing and Hyperbolicity for Endomorphisms of Locally Compact Groups
Dekui Peng
We study shadowing, with respect to the left uniformity, for continuous endomorphisms of Lie groups and totally disconnected locally compact groups. For Lie groups, an endomorphism…
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…
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…
Density Spectra of Topological Groups
Dekui Peng, Yi Zhou
We study density spectra associated with dense and closed subgroups of topological groups. For a topological group , let $\dd^*(G)$ denote the set of densities of its dense subg…
Successors of topologies of connected locally compact groups
Dekui Peng, Zhiqiang Xiao
Let be a group and be topological group topologies on . We say that is a successor of if is strictly finer than and there is not a group topology prop…