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Stationary subsets of [ℵω]<ωn

Published online by Cambridge University Press:  12 March 2014

Kecheng Liu
Kecheng Liu*
Affiliation:
Department of Mathematics, University of California, Irvine, California 92717
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Abstract

In this paper, assuming large cardinals, we prove the consistency of the following:

Let n ∈ ω and k1, k2 ≤ n. Let f: ω → {k1, k2} be such that for all n1 < n2 ∈ f−1{k1},n2 − n1 ≥ 4. Then the set

is stationary in

The above is equivalent to the statement that for any structure on on ℵω, there is ≺ A such that ∣∣ = ωn and for all m > n, cf( ∩ ωm) = ωf(m).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 4 , December 1993 , pp. 1201 - 1218
Copyright
Copyright © Association for Symbolic Logic 1993

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References

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