most citedLimits in compact abelian groups

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3 papers

math.GN2004★ 2 cited

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…

math.GN2003

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…

math.GN2003

Limits in Function Spaces and Compact Groups

Joan E. Hart, Kenneth Kunen

If B is an infinite subset of omega and X is a topological group, let C^X_B be the set of all x in X such that <x^n : n in B> converges to 1. If F is a filter of infinite sets, let…