10 papers
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 Endomorphisms of Compact Groups
Dekui Peng
We characterize shadowing for continuous endomorphisms of compact Hausdorff groups. First, we prove that an endomorphism has shadowing if and only if its restriction to the identit…
Shadowing and Hyperbolicity for Endomorphisms of Locally Compact Groups
Dekui Peng
We study the shadowing property for continuous endomorphisms of locally compact groups, using the left uniformity. For Lie groups we obtain a complete infinitesimal characterizatio…
Shadowing in Dynamical Systems: Zero-dimensional Extensions and Inverse Limits
Dekui Peng
Shifts of finite type (SFTs) play a central role in the theory of shadowing. Good and Meddaugh showed that SFTs serve as basic building blocks in the structural theory of shadowing…
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 denote the set of densities of…
Cofinal types of topological groups
Xuan Gong, Dekui Peng
We investigate the local topological structure of non-metrizable topological groups through the lens of Tukey order and cofinal types. Motivated by recent advances in topological g…