Distributions of countable models of quite o-minimal Ehrenfeucht theories
Beibut Kulpeshov, Sergey Sudoplatov
TL;DR
This paper analyzes the distribution of countable models in quite o-minimal Ehrenfeucht theories, providing formulas and descriptions of their Rudin-Keisler preorders and limit model counts.
Contribution
It introduces decomposition formulas and detailed descriptions of model distributions and preorders for this class of theories, advancing understanding of their structure.
Findings
Descriptions of Rudin-Keisler preorders
Formulas for distribution functions of limit models
Decomposition formulas for distributions
Abstract
We describe Rudin-Keisler preorders and distribution functions of numbers of limit models for quite o-minimal Ehrenfeucht theories. Decomposition formulas for these distributions are found.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Mathematical Dynamics and Fractals · Algebraic structures and combinatorial models