Limit Sketches and the Universal Realization of a Limit Sketch

Johnathon Taylor

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arXiv · 2511.06469

Limit Sketches and the Universal Realization of a Limit Sketch

Johnathon Taylor

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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.

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Johnathon Taylor. 2025-11-09. Limit Sketches and the Universal Realization of a Limit Sketch. https://arxiv.org/abs/2511.06469

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