Geodesic
On Atomic Models
Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 111-128 
K. Zh. Kudaibergenov. On Atomic Models. Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 111-128. http://geodesic.mathdoc.fr/item/MT_2000_3_2_a3/
@article{MT_2000_3_2_a3,
     author = {K. Zh. Kudaibergenov},
     title = {On {Atomic} {Models}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {111--128},
     year = {2000},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2000_3_2_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem is studied of existence of an atomic model over a set. Several conditions are specified under which density of the principal types over a set implies existence of a prime atomic model over this set. An example is constructed demonstrating that density of the principal types over a set does not in general imply existence of an atomic model over this set.