Hausdorff Measures and Two Point Set Extensions
نویسندگان
چکیده
We investigate the question: under which conditions is a-compact partial two point contained in a two point set? We show that no reasonable measure or capacity (when applied to the set itself) can provide a suucient condition for a compact partial two point set to be extendable to a two point set. On the other hand, we prove that under Martin's Axiom any-compact partial two point set such that its square has Hausdorr 1-measure zero is extendable.
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تاریخ انتشار 1996