39 citations · 59 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
The structure of extra loops
Michael K. Kinyon, Kenneth Kunen
The Sylow theorems hold for finite extra loops, as does P. Hall's theorem for finite solvable extra loops. Every finite nonassociative extra loop has a nontrivial center, $Z(Q)…
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…