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A Baire-type theorem for cardinals

Published online by Cambridge University Press:  12 March 2014

Kurt Wolfsdorf
Kurt Wolfsdorf*
Affiliation:
Technische Universität Berlin, D-1 Berlin 12, West Germany
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Abstract

We shall prove the following theorem: If κ is an infinite cardinal and Γ: P(κ) → cf κ a partition of the power-set of κ then we can find a homogeneous ⊿-system of size κ such that the kernel of the ⊿-system is in the same partition class as all the members of the ⊿-system.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 48 , Issue 4 , December 1983 , pp. 1082 - 1089
Copyright
Copyright © Association for Symbolic Logic 1983

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References

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