21 citations · 59 across the 25 of their papers we have counts for
5 papers · 1 filter
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…
Distributions of countable models of disjoint unions of Ehrenfeucht theories
Sergey Sudoplatov
We describe Rudin-Keisler preorders and distribution functions of numbers of limit models for disjoint unions of Ehrenfeucht theories. Decomposition formulas for these distribution…
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…