Dekui Peng

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20242026

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4 papers · 1 filter

math.GN2026

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…

math.GN2025

The Lattice of Group Topologies

Dekui Peng

For an infinite group $G$ , the poset $L_{G}$ of group topologies constitutes a complete lattice. Although $L_{G}$ is modular when $G$ is abelian, this property fail…

math.GN2024

Constructing Psuedo- $I ¨ $ -fine Precompact Groups

Dekui Peng, Gao Zhang

Let $I ¨ $ be an uncountable cardinal. The notion of a \emph{ $I ¨ $ -fine} topological group was introduced in 2021. More recently, H. Zhang et al. generalized this concept by defining…

math.GN2024

Minimality of the inner automorphism group

Dekui Peng, Menachem Shlossberg

By [6], a minimal group $G$ is called $z$ -minimal if $G / Z (G)$ is minimal. In this paper, we present the $z$ -Minimality Criterion for dense subgroups with some applications to topol…

Cofinal types of topological groups

The Lattice of Group Topologies

Constructing Psuedo-I¨-fine Precompact Groups

Minimality of the inner automorphism group

Constructing Psuedo- $I ¨ $ -fine Precompact Groups