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Two consistency results on set mappings

Published online by Cambridge University Press:  12 March 2014

Péter Komjáth  and
Saharon Shelah
Péter Komjáth
Affiliation:
Department of Computer Science, Eötvös University, Budapest, Rákóczi Út 5, 1088, Hungary, E-mail: [email protected]
Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel, E-mail: [email protected]
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Abstract

It is consistent that there is a set mapping from the four-tuples of ωn into the finite subsets with no free subsets of size tn for some natural number tn. For any n < ω it is consistent that there is a set mapping from the pairs of ωn into the finite subsets with no infinite free sets. For any n < ω it is consistent that there is a set mapping from the pairs of ωn into ωn with no uncountable free sets.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 1 , March 2000 , pp. 333 - 338
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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