1 citations · 4 across the 5 of their papers we have counts for
5 papers
Spherical orders, properties and countable spectra of their theories
Beibut Sh. Kulpeshov, Sergey V. Sudoplatov
We study semantic and syntactic properties of spherical orders and their elementary theories, including finite and dense orders and their theories. It is shown that theories of den…
On freedom and independence in hypergraphs of models of theories
Beibut Kulpeshov, Sergey Sudoplatov
Notions of freedom and independence for hypergraphs of models of a theory are defined. Properties of these notions and their applications to some natural classes of theories are st…
On structures in hypergraphs of models of a theory
Beibut Kulpeshov, Sergey Sudoplatov
We define and study structural properties of hypergraphs of models of a theory including lattice ones. Characterizations for the lattice properties of hypergraphs of models of a th…
On relative separability in hypergraphs of models of theories
Beibut Kulpeshov, Sergey Sudoplatov
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: char…
Distributions of countable models of quite o-minimal Ehrenfeucht theories
Beibut Kulpeshov, Sergey Sudoplatov
We describe Rudin-Keisler preorders and distribution functions of numbers of limit models for quite o-minimal Ehrenfeucht theories. Decomposition formulas for these distributions a…