In this appendix we shall record background material on abelian groups. We begin by fixing
standard notation and by listing elementary examples. Basically we stay in the domain of …

We collect examples of Valdivia compact spaces, their continuous images and associated
classes of Banach spaces which appear naturally in various branches of mathematics. We …

Abstract In 1985 S. Saeki and K. Stromberg published the following question: Does every
infinite compact group have a subgroup which is not Haar measurable? An affirmative …

There are many dimension functions defined on arbitrary topological spaces taking either a
finite value or the value infinity. This paper defines a cardinal valued dimension function …

Let G be an infinite locally compact group and let be a cardinal satisfying for the weight of G.
It is shown that there is a closed subgroup N of G with. Sample consequences are:(1) Every …

A compact group with {\bf all dense subspaces} separable is metrizable. Inspired by this, we
conjecture that a compact group with {\bf all dense subgroups} separable is metrizable …

Compact groups with large abelian subgroups Page 1 Math. Proc. Camb. Phil. Soc. (2002),
133, 235 c© 2002 Cambridge Philosophical Society DOI: 10.1017/S0305004102006060 …

Here are three recently-established theorems from the literature.(A)(2006) Every non-
metrizable compact abelian group K has 2| K|-many proper dense pseudocompact …

In a previous article of Wesolek and the author, it was shown that a compactly generated
locally compact group GG admits a finite normal series (G i) (G_i) in which the factors are …

Following from a resent result in reference [8], a locally compact group with all dense
subspaces separable is metrizable. In this paper we investigate the circumstances when the …