This survey presents some recent trends and results (most of them unpublished) in minimal
groups. The following are the main direction: In (a) we discuss preservation of minimality …

This is a survey on the recent progress in minimal topological groups, with a particular
emphasis on constructions leading to non-abelian minimal groups, as semidirect products …

This book provides an introduction to topological groups and the structure theory of locally
compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality …

We say that a topological space X is selectively sequentially pseudocompact if for every
family {U n: n∈ N} of non-empty open subsets of X, one can choose a point xn∈ U n for …

The fundamental property of compact spaces-that continuous functions defined on compact
spaces are bounded-served as a motivation for E. Hewitt to introduce the notion of a …

These notes provide a brief introduction to topological groups with a special emphasis on
Pontryagin-van Kampen's duality theorem for locally compact abelian groups. We give a …

Let c denote the cardinality of the continuum. Using forcing we produce a model of ZFC+ CH
with 2c “arbitrarily large” and, in this model, obtain a characterization of the Abelian groups …

A space X is called strongly pseudocompact if for each sequence (U n) n∈ N of pairwise
disjoint nonempty open subsets of X there is a sequence (xn) n∈ N of points in X such that …

Under Martin's Axiom, we completely characterize the algebraic structure of Abelian groups
of the size c that admit a countably compact Hausdorff group topology. It turns out that, in the …

We discuss dimension theory in the class of all topological groups. For locally compact
topological groups there are many classical results in the literature. Dimension theory for …