Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-26T06:56:37.451Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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
[2] Hajnal, A.. Some results and problems on set theory. Acta Math. Acad. Sci. Hungar. 11 (1960), 277–298.CrossRefGoogle Scholar
[3] Williams, N. H.. Combinatorial Set Theory. Studies in Logic and the Foundations of Mathematics, 91 (North-Holland, 1977).CrossRefGoogle Scholar