Geodesic
On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories
Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 39-48

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that o-minimality is not a model-theoretical property in the sense of Peretyat’kin. We also prove that existence of a prime models need not be preserved under a passage between mutually interpretable theories. 
@article{MT_2015_18_2_a2,
     author = {K. Zh. Kudaibergenov},
     title = {On model-theoretical properties in the sense of {Peretyat{\textquoteright}kin,} o-minimality, and mutually interpretable theories},
     journal = {Matemati\v{c}eskie trudy},
     pages = {39--48},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2015_18_2_a2/}
}
TY  - JOUR
AU  - K. Zh. Kudaibergenov
TI  - On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories
JO  - Matematičeskie trudy
PY  - 2015
SP  - 39
EP  - 48
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2015_18_2_a2/
LA  - ru
ID  - MT_2015_18_2_a2
ER  - 
%0 Journal Article
%A K. Zh. Kudaibergenov
%T On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories
%J Matematičeskie trudy
%D 2015
%P 39-48
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2015_18_2_a2/
%G ru
%F MT_2015_18_2_a2
K. Zh. Kudaibergenov. On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories. Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 39-48. http://geodesic.mathdoc.fr/item/MT_2015_18_2_a2/