On the Ramsey Property for Sets of Reals

Kastanas, Ilias G.

J. Symbolic Logic, Tome 48 (1983) no. 1, p. 1035-1045 / Harvested from Project Euclid

Résumé

We review some known results about the Ramsey property for partitions of reals, and we present a certain two-person game such that if either player has a winning strategy then a homogeneous set for the partition can be constructed, and conversely. This gives alternative proofs of some of the known results. We then discuss possible uses of the game in obtaining effective versions of Ramsey's theorem and prove a theorem along these lines.

Publié le : 1983-12-14
Classification:

@article{1183741412,
     author = {Kastanas, Ilias G.},
     title = {On the Ramsey Property for Sets of Reals},
     journal = {J. Symbolic Logic},
     volume = {48},
     number = {1},
     year = {1983},
     pages = { 1035-1045},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183741412}
}

Kastanas, Ilias G. On the Ramsey Property for Sets of Reals. J. Symbolic Logic, Tome 48 (1983) no. 1, pp.  1035-1045. http://gdmltest.u-ga.fr/item/1183741412/