Elements of ?-Category Theory

Rezensionen / Stimmen

'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