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Concentrated sets

Published online by Cambridge University Press:  24 October 2008

H. G. Eggleston
H. G. Eggleston
Affiliation:
Bedford College, London
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Extract

A non-enumerable set of real numbers, Z, is concentrated provided that there exists an enumerable set K such that if G is open and G ⊂ K then Z − G is at most enumerable. Z is said to be universally concentrated if we can take for K any enumerable set H for which

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 931 - 933
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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