Mathias Absoluteness and the Ramsey Property
Halbeisen, Lorenz ; Judah, Haim
J. Symbolic Logic, Tome 61 (1996) no. 1, p. 177-194 / Harvested from Project Euclid
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In this article we give a forcing characterization for the Ramsey property of $\Sigma^1_2$-sets of reals. This research was motivated by the well-known forcing characterizations for Lebesgue measurability and the Baire property of $\Sigma^1_2$-sets of reals. Further we will show the relationship between higher degrees of forcing absoluteness and the Ramsey property of projective sets of reals.
Publié le : 1996-03-14
Classification:  
@article{1183744932,
     author = {Halbeisen, Lorenz and Judah, Haim},
     title = {Mathias Absoluteness and the Ramsey Property},
     journal = {J. Symbolic Logic},
     volume = {61},
     number = {1},
     year = {1996},
     pages = { 177-194},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744932}
}

Halbeisen, Lorenz; Judah, Haim. Mathias Absoluteness and the Ramsey Property. J. Symbolic Logic, Tome 61 (1996) no. 1, pp.  177-194. http://gdmltest.u-ga.fr/item/1183744932/