4 papers
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…