Polygraphs: From Rewriting to Higher Categories

Language: English

Published by Cambridge University Press, GB, 2025

1009498983 / 9781009498982

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This is the first book to revisit the theory of rewriting in the context of strict higher categories, through the unified approach provided by polygraphs, and put it in the context of homotopical algebra. The first half explores the theory of polygraphs in low dimensions and its applications to the computation of the coherence of algebraic structures. Illustrated with algorithmic computations on algebraic structures, the only prerequisite in this section is basic category theory. The theory is introduced step-by-step, with detailed proofs. The second half introduces and studies the general notion of n-polygraph, before addressing the homotopy theory of these polygraphs. It constructs the folk model structure on the category on strict higher categories and exhibits polygraphs as cofibrant objects. This allows the formulation of higher-dimensional generalizations of the coherence results developed in the first half. Graduate students and researchers in mathematics and computer science will find this work invaluable.

Seller Inventory # LU-9781009498982

Title
Polygraphs: From Rewriting to Higher Categories
Author
Dimitri Ara, Albert Burroni, Yves Guiraud, Philippe Malbos, François Métayer, Samuel Mimram
Publisher
Cambridge University Press, GB
Publication year
2025
Condition
New
Binding
Paperback
Language
English
ISBN 10
1009498983
ISBN 13
9781009498982
Item weight
1,040 grams

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