Amoeba Reals
Judah, Haim ; Repicky, Miroslav
J. Symbolic Logic, Tome 60 (1995) no. 1, p. 1168-1185 / Harvested from Project Euclid
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We define the ideal with the property that a real omits all Borel sets in the ideal which are coded in a transitive model if and only if it is an amoeba real over this model. We investigate some other properties of this ideal. Strolling through the "amoeba forest" we gain as an application a modification of the proof of the inequality between the additivities of Lebesgue measure and Baire category.
Publié le : 1995-12-14
Classification:  Amoeba real,  $\sigma$-ideal,  cardinal invariants,  03E40 
@article{1183744869,
     author = {Judah, Haim and Repicky, Miroslav},
     title = {Amoeba Reals},
     journal = {J. Symbolic Logic},
     volume = {60},
     number = {1},
     year = {1995},
     pages = { 1168-1185},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744869}
}

Judah, Haim; Repicky, Miroslav. Amoeba Reals. J. Symbolic Logic, Tome 60 (1995) no. 1, pp.  1168-1185. http://gdmltest.u-ga.fr/item/1183744869/