Elements of -Category Theory Hardback
by Emily (The Johns Hopkins University, Maryland) Riehl, Dominic (Macquarie University, Sydney) Verity
Part of the Cambridge Studies in Advanced Mathematics series
Hardback
Description
The language of -categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated.
To explain what exactly an -category is requires various technical models, raising the question of how they might be compared.
To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all.
This text develops the theory of -categories from first principles in a model-independent fashion using the axiomatic framework of an -cosmos, the universe in which -categories live as objects.
An -cosmos is a fertile setting for the formal category theory of -categories, and in this way the foundational proofs in -category theory closely resemble the classical foundations of ordinary category theory.
Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.
Information
-
Less than 10 available - usually despatched within 24 hours
- Format:Hardback
- Pages:770 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:10/02/2022
- Category:
- ISBN:9781108837989
Information
-
Less than 10 available - usually despatched within 24 hours
- Format:Hardback
- Pages:770 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:10/02/2022
- Category:
- ISBN:9781108837989
