On structures in hypergraphs of models of a theory
Beibut Kulpeshov, Sergey Sudoplatov
TL;DR
This paper investigates the structural properties of hypergraphs formed from models of a theory, focusing on lattice structures and their characterizations.
Contribution
It introduces new characterizations for lattice properties of hypergraphs of models and structures on isomorphism types of models.
Findings
Characterizations for lattice properties of hypergraphs of models
Structural insights into sets of isomorphism types of models
Framework for analyzing hypergraph structures in model theory
Abstract
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 theory, as well as for structures on sets of isomorphism types of models of a theory, are given.
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Taxonomy
TopicsAdvanced Scientific Research Methods