Limit search to available items
Book Cover
Author Johnson, Niles, author.

Title 2-dimensional categories / Niles Johnson, Donald Yau
Edition First edition
Published Oxford, United Kingdom ; New York, NY : Oxford University Press, 2021
Online access available from:
Oxford Scholarship Online    View Resource Record  


Description 1 online resource (xvi, 615 pages) : illustrations
Summary 2-Dimensional Categories provides an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories; pasting diagrams; lax functors; 2-/bilimits; the Duskin nerve; the 2-nerve; internal adjunctions; monads in bicategories; 2-monads; biequivalences; the Bicategorical Yoneda Lemma; and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented for the first time. With exercises and plenty of motivation and explanation, this book is useful for both beginners and experts
Bibliography Includes bibliographical references and index
Notes Description based on online resource; title from digital title page (Oxford Scholarship Online, viewed April 19, 2021)
Subject Categories (Mathematics)
Categories (Mathematics)
Form Electronic book
Author Yau, Donald Y. (Donald Ying), 1977- author.
ISBN 0191914851
Other Titles Two-dimensional categories