39 citations · 57 across the 7 of their papers we have counts for
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Inverse Limits and Function Algebras
Joan E. Hart, Kenneth Kunen
Assuming Jensen's principle diamond, there is a compact Hausdorff space X which is hereditarily Lindelof, hereditarily separable, and connected, such that no closed subspace of X i…
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…
Complex Function Algebras and Removable Spaces
Joan E. Hart, Kenneth Kunen
The compact Hausdorff space X has the Complex Stone-Weierstrass Property (CSWP) iff it satisfies the complex version of the Stone-Weierstrass Theorem. W. Rudin showed that all scat…