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A set mapping with no infinite free subsets

Published online by Cambridge University Press:  12 March 2014

P. Komjáth*
Affiliation:
Department of Computer Science, Loránd Eötvös University, 1088 Budapest, Hungary

Abstract

It is consistent that there exists a set mapping F: [ω2]2 → [ω2]<ω such that F(α,β)α for α < β < ω2 and there is no infinite free subset for F. This solves a problem of A. Hajnal and A. Máté.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1991

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References

REFERENCES

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