Imaginaries in beautiful pairs

Pillay, Anand; Vassiliev, Evgueni

Illinois J. Math., Tome 48 (2004) no. 3, p. 759-768 / Harvested from Project Euclid

Résumé

We prove that if $T = T^{eq}$ is a stable theory (without the finite cover property), then the theory $T_{P}$ of "beautiful pairs" eliminates imaginaries if and only if no infinite group is definable in a model of $T$.

Publié le : 2004-07-15
Classification: 03C45

@article{1258131051,
     author = {Pillay, Anand and Vassiliev, Evgueni},
     title = {Imaginaries in beautiful pairs},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 759-768},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131051}
}

Pillay, Anand; Vassiliev, Evgueni. Imaginaries in beautiful pairs. Illinois J. Math., Tome 48 (2004) no. 3, pp.  759-768. http://gdmltest.u-ga.fr/item/1258131051/