2-dimensional categories / Niles Johnson, Donald Yau.

Format:

Book

Author/Creator:

Johnson, Niles, author.

Yau, Donald Y. (Donald Ying), 1977- author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Categories (Mathematics).

Physical Description:

1 online resource (xvi, 615 pages) : illustrations

Edition:

First edition.

Other Title:

Two-dimensional categories

Place of Publication:

Oxford : Oxford University Press, 2021.

Summary:

Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside of pure mathematics, category theory is an important tool in physics, computer science, linguistics, and a quickly-growing list of other sciences. This book is about 2-dimensional categories, which add an extra dimension of richness and complexity to category theory. '2-Dimensional Categories' is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory.

Contents:

1: Categories 2: 2-Categories and Bicategories 3: Pasting Diagrams 4: Functors, Transformations, and Modifications 5: Bicategorical Limits and Nerves 6: Adjunctions and Monads 7: The Whitehead Theorem for Bicategories 8: The Yoneda Lemma and Coherence 9: Grothendieck Fibrations 10: The Grothendieck Construction 1 1: The Tricategory of Bicategories 12: Further 2-Dimensional Categorical Structures

Notes:

This edition also issued in print: 2021.

Includes bibliographical references and index.

Description based on online resource; title from home page (viewed on January 12, 2021).

Other Format:

Print version: Johnson, Niles. 2-dimensional categories.

ISBN:

0-19-191485-1

0-19-264567-6

OCLC:

1197723067