Independence of Strong Partition Relation for Small Cardinals, and the Free-Subset Problem

Shelah, Saharon

Shelah, Saharon

J. Symbolic Logic, Tome 45 (1980) no. 1, p. 505-509 / Harvested from Project Euclid

Résumé

We prove the independence of a strong partition relation on $\aleph_\omega$, answering a question of Erdos and Hajnal. We then give an almost complete answer to the free subset problem.

Publié le : 1980-09-14
Classification:

@article{1183740616,
     author = {Shelah, Saharon},
     title = {Independence of Strong Partition Relation for Small Cardinals, and the Free-Subset Problem},
     journal = {J. Symbolic Logic},
     volume = {45},
     number = {1},
     year = {1980},
     pages = { 505-509},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183740616}
}

Shelah, Saharon. Independence of Strong Partition Relation for Small Cardinals, and the Free-Subset Problem. J. Symbolic Logic, Tome 45 (1980) no. 1, pp.  505-509. http://gdmltest.u-ga.fr/item/1183740616/