
TL;DR
This paper introduces a higher-dimensional extension of model theoretic internality and explores its connection to higher-dimensional definable groupoids within the base theory.
Contribution
It presents a novel higher-dimensional framework for internality and links it to the theory of definable groupoids, expanding the scope of model theory.
Findings
Established a higher-dimensional notion of internality
Connected higher internality to definable groupoids
Extended model theoretic concepts to higher dimensions
Abstract
We define and study a higher-dimensional version of model theoretic internality, and relate it to higher-dimensional definable groupoids in the base theory.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Computability, Logic, AI Algorithms
