Geodesic
On relative separability in hypergraphs of models of theories
Eurasian mathematical journal, Tome 9 (2018) no. 4, pp. 68-78.

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

In the paper, notions of relative separability for hypergraphs of models of a theory are defined. Properties of these notions and applications to ordered theories are studied: characterizations of relative separability both in a general case and for almost $\omega$-categorical quite $o$-minimal theories are established. 
@article{EMJ_2018_9_4_a4,
     author = {B. Sh. Kulpeshov and S. V. Sudoplatov},
     title = {On relative separability in hypergraphs of models of theories},
     journal = {Eurasian mathematical journal},
     pages = {68--78},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a4/}
}
TY  - JOUR
AU  - B. Sh. Kulpeshov
AU  - S. V. Sudoplatov
TI  - On relative separability in hypergraphs of models of theories
JO  - Eurasian mathematical journal
PY  - 2018
SP  - 68
EP  - 78
VL  - 9
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a4/
LA  - en
ID  - EMJ_2018_9_4_a4
ER  - 
%0 Journal Article
%A B. Sh. Kulpeshov
%A S. V. Sudoplatov
%T On relative separability in hypergraphs of models of theories
%J Eurasian mathematical journal
%D 2018
%P 68-78
%V 9
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a4/
%G en
%F EMJ_2018_9_4_a4
B. Sh. Kulpeshov; S. V. Sudoplatov. On relative separability in hypergraphs of models of theories. Eurasian mathematical journal, Tome 9 (2018) no. 4, pp. 68-78. http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a4/

[1] K. A. Baikalova, “On some hypergraphs of prime models and limit models generated by them”, Algebra and Model Theory 7, Collection of works edited by A. G. Pinus, K. N. Ponomaryov, S. V. Sudoplatov, Novosibirsk State Technical University Publishing House, Novosibirsk, 2009, 6–17

[2] B. S. Baizhanov, “Expansion of a model of a weakly o-minimal theory by a family of unary predicates”, Journal of Symbolic Logic, 66 (2001), 1382–1414 | DOI

[3] R. Engelking, General topology, Sigma series in pure mathematics, 6, Revised and completed edition, Heldermann Verlag, Berlin, 1989

[4] K. Ikeda, A. Pillay, A. Tsuboi, “On theories having three countable models”, Mathematical Logic Quarterly, 44:2 (1998), 161–166 | DOI

[5] B. Sh. Kulpeshov, S. V. Sudoplatov, “On hypergraphs of prime models for quite $o$-minimal theories with small number of countable models”, Annual Scientific April Conference of Institute of Mathematics and Mathematical Modelling devoted to Science Day and Scientific Seminar “Differential operators and modelling complex systems” (DOMCS-2017) devoted to 70-th anniversary of professor M. T. Dzhenaliev, Abstracts of talks (Almaty, 7–8 April 2017), IMMM, Almaty, 2017, 30–32

[6] B. Sh. Kulpeshov, S. V. Sudoplatov, “On decomposition of hypergraphs of models of a theory. Appendix to theories of unars”, Sintax and Semantics of Logical Systems, Materials of 5-th Russian School-Seminar, Buryatsky State University Publishing House, Ulan-Ude, 2017, 52–56

[7] B. Sh. Kulpeshov, S. V. Sudoplatov, “Linearly ordered theories which are nearly countably categorical”, Mathematical Notes, 101:3 (2017), 475–483 | DOI

[8] B. Sh. Kulpeshov, “Convexity rank and orthogonality in weakly o-minimal theories”, News of National Academy of Sciences of the Republic of Kazakhstan, series physics-mathematics, 227 (2003), 26–31

[9] B. Sh. Kulpeshov, S. V. Sudoplatov, “Vaught's conjecture for quite o-minimal theories”, Annals of Pure and Applied Logic, 168:1 (2017), 129–149 | DOI

[10] H. D. Macpherson, D. Marker, C. Steinhorn, “Weakly o-minimal structures and real closed fields”, Transactions of the American Mathematical Society, 352 (2000), 5435–5483 | DOI

[11] S. V. Sudoplatov, Classification of countable models of complete theories, Novosibirsk State Technical University Publishing House, Novosibirsk, 2014

[12] S. V. Sudoplatov, “On acyclic hypergraphs of minimal prime models”, Siberian Mathematical Journal, 42:6 (2001), 1408–1412 | DOI

[13] S. V. Sudoplatov, “Hypergraphs of prime $n$-models and distributions of countable models of small theories”, Journal of Mathematical Sciences, 169:5 (2010), 680–695 | DOI

[14] S. V. Sudoplatov, “On the separability of elements and sets in hypergraphs of models of a theory”, Bulletin of Karagandy State University. Series Mathematics, 82:2 (2016), 113–120

[15] S. V. Sudoplatov, “Derivative structures in model theory and group theory”, International Conference “Actual Problems of Pure and Applied Mathematics” devoted to 100-th anniversary of academician A. D. Taimanov, Abstracts of talks (Almaty, 22–25 August 2017), IMMM, Almaty, 2017, 76–79