Elements of 8-Category Theory
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
1108837980
ISBN-13
9781108837989
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 10th, 2022
Print length
770 Pages
Weight
1,260 grams
Dimensions
16.00 x 23.50 x 5.60 cms
Product Classification:
Mathematical logicTopology
Ksh 12,800.00
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The language of 8-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. This book develops a new, more accessible model-independent approach to the foundations of 8-category theory by studying the universe, or 8-cosmos, in which 8-categories live.
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.
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