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Towards Higher Categories

Name: Towards Higher Categories
Brand: Springer-Verlag New York Inc.
SKU: 9781441915238
Price: 40276 HUF
Availability: InStock

Szerző: John C. Baez, J. Peter May

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten alacsony példányszámban

Küldés 13-18 napon belül

40 276 Ft

The purpose of this book is to give background for those who would like to delve into some higher ca...

Információk a könyvről

Szerző

John C. Baez, J. Peter May

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2009

oldal

283

EAN

9781441915238

ISBN

1441915230

Enbook ID

01420663

Kiadó

Springer-Verlag New York Inc.

Súly

576

Méretek

164 x 241 x 22

Teljes leírás

The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory.§The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. §This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.