Name: Compact Closed 2-Categories. Duality, Enrichment, and Strictification
SKU: 65250147
Price: 144.22 USD
Availability: InStock
Author: David Yetter;Nick Gurski;Juan Orendain

portada Compact Closed 2-Categories. Duality, Enrichment, and Strictification

Compact Closed 2-Categories. Duality, Enrichment, and Strictification

Formato

Libro Físico

Editorial

De Gruyter

Autor

David Yetter;Nick Gurski;Juan Orendain

Colección

De Gruyter Studies in Mathematics

Año

2025

N° páginas

274

Encuadernación

Tapa Dura

Dimensiones

24x17 cm

ISBN13

9783119148153

Compact Closed 2-Categories. Duality, Enrichment, and Strictification

David Yetter;Nick Gurski;Juan Orendain (Autor) · De Gruyter · Tapa Dura

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Reseña del libro "Compact Closed 2-Categories. Duality, Enrichment, and Strictification"

While the Cobordism Hypothesis provides a translation between topological and categorical structures, the subject of fusion categories arising from representations of finite groups has shown the need for a robust theory of duality in monoidal 2-categories. This book intertwines 3-dimensional category theory with enriched and symmetric monoidal 2-categories to present a comprehensive foundation for duals in dimension two. This framework is presented using wire diagrams, a typographical tool that combines the geometric appeal of ordinary string diagrams with the clarity of standard commutative diagrams in category theory. Chapters on enriched 2-categories, closed 2-categories, and compact closed 2-categories build the theory from the ground up and in full detail. Shorter appendices on technical topics from higher category theory such as icons, strictification theorems, and computads provide readers with concise explanations of key results, as well as references for researchers interested in more depth. The book concludes with a chapter of examples from algebra and topology, including a detailed construction for the example of cobordisms.