Two consistency results on set mappings

Péter Komjáth; Saharon Shelah

doi:10.2307/2586540

Two consistency results on set mappings

Péter Komjáth^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	333-338
Number of pages	6
Journal	Journal of Symbolic Logic
Volume	65
Issue number	1
DOIs	https://doi.org/10.2307/2586540
State	Published - Mar 2000

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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.",

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AB - 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.

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Two consistency results on set mappings

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