Existence in NSOP$_1$ theories
Byunghan Kim, Joonhee Kim, Hyoyoon Lee
TL;DR
This paper proves that Kim-forking, a key notion in model theory, always satisfies the existence property within all NSOP$_1$ theories, advancing understanding of independence in these theories.
Contribution
It establishes that Kim-forking satisfies existence universally in NSOP$_1$ theories, a significant step in the classification theory.
Findings
Kim-forking satisfies existence in all NSOP$_1$ theories
Advances understanding of independence in NSOP$_1$ theories
Provides a foundational result for further research in model theory
Abstract
We show that Kim-forking satisfies existence in all NSOP theories.
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Taxonomy
TopicsQuantum Mechanics and Applications · Distributed systems and fault tolerance · Distributed and Parallel Computing Systems