Dekui Peng

activity

20192023

collaborators

3 papers

math.GR2023

Locally Compact Groups with All Dense Subgroups Separable

Dekui Peng

By a recent result of Juhász and van Mill, a locally compact topological group whose dense subspaces are all separable is metrizable. In this note we investigate the following ques…

math.GR2022

Densities and Weights of Quotients of Precompact Abelian Groups

Dekui Peng

The topological group version of the celebrated Banach-Mazur problem asks wether every infinite topological group has a non-trivial separable quotient group. It is known that compa…

math.GR2019

Countably infinite bounded abelian groups admit no non-discrete locally minimal group topologies

Dekui Peng

In this note we show that if $G$ is a countably infinite abelian group such that $n G = 0$ for some integer $n$ , then the only locally minimal group topology on $G$ is the discrete on…