Limit Sketches and the Universal Realization of a Limit Sketch
Category Theory
2026-04-14 v2
Abstract
We construct the universal realized limit sketch associated to a given limit sketch. The construction uses factorization systems to organize the classical argument of [2], yielding a streamlined and conceptually unified formulation of the technical steps. This provides a structured framework for understanding realizations of limit sketches in terms of factorization-theoretic data.
Cite
@article{arxiv.2511.06469,
title = {Limit Sketches and the Universal Realization of a Limit Sketch},
author = {Johnathon Taylor},
journal= {arXiv preprint arXiv:2511.06469},
year = {2026}
}