Description
This book develops the theory of infinite-dimensional categories by studying the universe, or -cosmos, in which they live.
About the Author
Emily Riehl is an associate professor of mathematics at Johns Hopkins University. She received her PhD from the University of Chicago and was a Benjamin Peirce and NSF postdoctoral fellow at Harvard University. She is the author of Categorical Homotopy Theory (Cambridge, 2014) and Category Theory in Context (2016), and a co-author of Fat Chance: Probability from 0 to 1 (Cambridge, 2019). She and her present co-author have published ten articles over the course of the past decade that develop the new mathematics appearing in this book. Dominic Verity is a professor of mathematics at Macquarie University in Sydney and is a director of the Centre of Australian Category Theory. While he is a leading proponent of 'Australian-style' higher category theory, he received his PhD from the University of Cambridge and migrated to Australia in the early 1990s. Over the years he has pursued a career that has spanned the academic and non-academic worlds, working at times as a computer programmer, quantitative analyst, and investment banker. He has also served as the Chair of the Academic Senate of Macquarie University, the principal academic governance and policy body.
Reviews
'The book of Riehl and Verity is altogether a pedagogical introduction, a unified presentation and a foundation of higher category theory. The theory of -cosmoi is an elegant way of organising and developing the subject. The extension of category theory to -categories is by itself a miracle, vigorously presented in the book.' Andre Joyal, Universite du Quebec a Montreal
'Emily and Dom have done what many thought impossible: they have written an introductory text on a model-independent approach to higher category theory. This self-contained text is ideal for both end-users and architects of higher category theory. Every page is bursting at the seams with gorgeous insights and the refreshingly candid delight the authors take in their subject.' Clark Barwick, University of Edinburgh
'This remarkable book starts with the premise that it should be possible to study -categories armed only with the tools of 2-category theory. It is the result of the authors' decade-long collaboration, and they have poured into it all their experience, technical brilliance, and expository skill. I'm sure I'll be turning to it for many years to come.' Steve Lack, Macquarie University
Book Information
ISBN 9781108837989
Author Emily Riehl
Format Hardback
Page Count 770
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 1210g
Dimensions(mm) 234mm * 155mm * 45mm