3 papers
math.CT2026
A Parameterized Algorithm for Testing whether the Limit of a Diagram is Empty
Ernst Althaus, Benjamin Merlin Bumpus, James Fairbanks +2
A limit of a (small) diagram in a complete category can be thought of as specifying a set of equations involving the objects of . To motivate this intuitively,…
math.AC2024
Algorithmic and Extremal Obstructions Through the Language of Cohomology
Anny Beatriz Azevedo, Benjamin Merlin Bumpus, Matteo Capucci +2
We model problems as presheaves that assign sets of certificates to input instances, and we show how to use presheaf Čech cohomology to capture the precise ways in which local solu…
math.CT2020
Sheaf Theory through Examples (Abridged Version)
Daniel Rosiak
This book provides an inviting tour through sheaf theory, from the perspective of applied category theory and pitched at a less specialized audience than is typical with introducti…