Bartosz Milewski 5/23/2026

Tabulation Tribulations

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This article delves into the concept of tabulation in double categories, drawing an analogy with graphs of profunctors. It explains how a tabulation generalizes the category of elements of a profunctor, using a 0-cell with two projections and a universal 2-cell. The discussion covers the 1-dimensional mapping-in condition for constructing vertical arrows and hints at a 2-dimensional condition for 2-cells. The content is highly technical, focusing on category theory concepts relevant to computer science and mathematics, specifically in the context of double categories and profunctors.

Tabulation Tribulations

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