Difference between revisions of "Measurable"

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Revision as of 06:33, 18 December 2011

Definition

An uncountable cardinal $\kappa$ is measurable when there is a measure on $\kappa$, that is, a $\kappa$-complete non-principal ultrafilter on $\kappa$.

Measurable cardinals were first defined by Stanislaw Ulam.




Related cardinal notions



References

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