2-dimensional categories / Niles Johnson, Donald Yau.
| Author/creator | Johnson, Niles |
| Other author | Yau, Donald Y. (Donald Ying), 1977- |
| Other author | Oxford University Press. |
| Format | Electronic |
| Edition | First edition. |
| Publication Info | Oxford, United Kingdom ; New York, NY : Oxford University Press, 2021. |
| Description | xix, 615 pages : illustrations ; 24 cm |
| Supplemental Content | Full text available from Oxford Scholarship Online |
| Subjects |
| Variant title | Two-dimensional categories |
| Abstract | 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.-- Source other than the Library of Congress. |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Issued in other form | Electronic version: Johnson, Niles. 2-dimensional categories. First edition. Oxford, United Kingdom ; New York, NY : Oxford University Press, 2021 0191914851 |
| Genre/form | Electronic books. |
| LCCN | 2020947503 |
| ISBN | 9780198871378 hardcover |
| ISBN | 0198871376 hardcover |
| ISBN | 0198871384 paperback |
| ISBN | 9780198871385 paperback |
| ISBN | electronic book |