Discouraging results for ultraimaginary independence theory
Ben-Yaacov, Itay
J. Symbolic Logic, Tome 68 (2003) no. 1, p. 846- 850 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Dividing independence for ultraimaginaries is neither symmetric nor transitive. Moreover, any notion of independence satisfying certain axioms (weaker than those for independence in a simple theory) and defined for all ultraimaginary sorts, is necessarily trivial.
Publié le : 2003-09-14
Classification:  dividing,  independence,  ultraimaginaries,  03C45,  03C95 
@article{1058448443,
     author = {Ben-Yaacov, Itay},
     title = {Discouraging results for ultraimaginary independence theory},
     journal = {J. Symbolic Logic},
     volume = {68},
     number = {1},
     year = {2003},
     pages = { 846- 850},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1058448443}
}

Ben-Yaacov, Itay. Discouraging results for ultraimaginary independence theory. J. Symbolic Logic, Tome 68 (2003) no. 1, pp.  846- 850. http://gdmltest.u-ga.fr/item/1058448443/