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Intersection properties of functions on cardinals

Published online by Cambridge University Press:  24 October 2008

Greg Gibbon
Greg Gibbon
Affiliation:
Department of Mathematics, University of Queensland, St Lucia QLD 4067, Australia
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Extract

A family of sets is said to possess property B if there is a set T such that A ∪ T ╪ ø and yet A ⊈ T for all sets A in . These two requirements may be restated in terms of the characteristic functions of the sets in as follows:

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 2 , September 1986 , pp. 265 - 280
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

[1] Erdös, P.and Hajnal, A.. On a property of families of sets. Ada Math. Acad. Sci. Hungar. 12 (1961), 87–123.CrossRefGoogle Scholar
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[3] Williams, N. H.. Combinatorial Set Theory. Studies in Logic and the Foundations of Mathematics, 91 (North-Holland, 1977).CrossRefGoogle Scholar