Limits and colimits of quantaloid-enriched categories and their distributors
Lili Shen, Walter Tholen
TL;DR
This paper investigates the categorical properties of quantaloid-enriched categories and their distributors, demonstrating that the categories of small Q-categories, Q-functors, and Q-distributors possess total and cototal structures.
Contribution
It establishes that the categories of small Q-categories, Q-functors, and Q-distributors are total and cototal, extending the understanding of their structural properties.
Findings
Categories of small Q-categories and Q-functors are total and cototal.
Categories of Q-distributors and Q-Chu transforms are total and cototal.
Provides foundational results for quantaloid-enriched category theory.
Abstract
It is shown that, for a small quantaloid Q, the category of small Q-categories and Q-functors is total and cototal, and so is the category of Q-distributors and Q-Chu transforms.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra