39 citations · 61 across the 14 of their papers we have counts for
4 papers · 2 filters
Characterizing Subgroups of Compact Abelian Groups
Dikran Dikranjan, Kenneth Kunen
We prove that every countable subgroup of a compact metrizable abelian group has a characterizing set. As an application, we answer several questions on maximally almost periodic (…
Limits in compact abelian groups
Joan E. Hart, Kenneth Kunen
Let X be compact abelian group and G its dual (a discrete group). If B is an infinite subset of G, let C_B be the set of all x in X such that <phi(x) : phi \in B> converges to 1. I…
Compact Scattered Spaces in Forcing Extensions
Kenneth Kunen
We consider the cardinal sequences of compact scattered spaces in models where CH is false. We describe a number of models where the continuum is aleph_2 in which no such space can…
Small Locally Compact Linearly Lindelof Spaces
Kenneth Kunen
There is a locally compact Hausdorff space of weight aleph_omega which is linearly Lindelof and not Lindelof. This improves an earlier result, which produced such a space of weight…