$\triangle^1_3$-Stability
Ben-Arie, Dror ; Judah, Haim
J. Symbolic Logic, Tome 58 (1993) no. 1, p. 941-954 / Harvested from Project Euclid
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We investigate the connection between $\triangle^1_3$-stability for random and Cohen forcing notions and the measurability and categoricity of the $\triangle^1_3$-sets. We show that Shelah's model for $\triangle^1_3$-measurability and categoricity satisfies $\triangle^1_3$-random-stability while it does not satisfy $\triangle^1_3$-Cohen-stability. This gives an example of measure-category asymmetry. We also present a result concerning finite support iterations of Suslin forcing.
Publié le : 1993-09-14
Classification:  
@article{1183744307,
     author = {Ben-Arie, Dror and Judah, Haim},
     title = {$\triangle^1\_3$-Stability},
     journal = {J. Symbolic Logic},
     volume = {58},
     number = {1},
     year = {1993},
     pages = { 941-954},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744307}
}

Ben-Arie, Dror; Judah, Haim. $\triangle^1_3$-Stability. J. Symbolic Logic, Tome 58 (1993) no. 1, pp.  941-954. http://gdmltest.u-ga.fr/item/1183744307/