Two Consistency Results on Set Mappings
Komjath, Peter ; Shelah, Saharon
J. Symbolic Logic, Tome 65 (2000) no. 1, p. 333-338 / Harvested from Project Euclid
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It is consistent that there is a set mapping from the four-tuples of $\omega_n$ into the finite subsets with no free subsets of size t$_n$ for some natural number t$_n$. For any $n < \omega$ it is consistent that there is a set mapping from the pairs of $\omega_n$ into the finite subsets with no infinite free sets. For any $n < \omega$ it is consistent that there is a set mapping from the pairs of $\omega_n$ into $\omega_n$ with no uncountable free sets.
Publié le : 2000-03-14
Classification:  
@article{1183746024,
     author = {Komjath, Peter and Shelah, Saharon},
     title = {Two Consistency Results on Set Mappings},
     journal = {J. Symbolic Logic},
     volume = {65},
     number = {1},
     year = {2000},
     pages = { 333-338},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746024}
}

Komjath, Peter; Shelah, Saharon. Two Consistency Results on Set Mappings. J. Symbolic Logic, Tome 65 (2000) no. 1, pp.  333-338. http://gdmltest.u-ga.fr/item/1183746024/