Concentrated sets

H. G. Eggleston · Mathematical Proceedings of the Cambridge Philosophical Society · 1967

A non-enumerable set of real numbers,Z, isconcentratedprovided that there exists an enumerable setKsuch that ifGis open andG⊂KthenZ−Gis at most enumerable.Zis said to be universally concentrated if we can take forKany enumerable setHfor which

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