Name: Polygraphs: From Rewriting to Higher Categories (en Inglés)
Price: 135.13 USD
Availability: InStock
Author: Ara Dimitri,Burroni Albert,Guiraud Yves
ISBN: 9781009498982

portada Polygraphs: From Rewriting to Higher Categories (en Inglés)

Polygraphs: From Rewriting to Higher Categories (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Ara Dimitri,Burroni Albert,Guiraud Yves

Idioma

Inglés

Encuadernación

Tapa Blanda

ISBN13

9781009498982

Polygraphs: From Rewriting to Higher Categories (en Inglés)

Ara Dimitri,Burroni Albert,Guiraud Yves (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Polygraphs: From Rewriting to Higher Categories (en Inglés)"

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.