Coherence in Three-Dimensional Category Theory
Author:   Nick Gurski (University of Sheffield)
Publisher:   Cambridge University Press
Volume:   201
ISBN:  

9781107034891


Pages:   286
Publication Date:   21 March 2013
Format:   Hardback
Availability:   Available To Order   Availability explained
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Coherence in Three-Dimensional Category Theory


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Author:   Nick Gurski (University of Sheffield)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   201
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.60cm
Weight:   0.510kg
ISBN:  

9781107034891


ISBN 10:   1107034892
Pages:   286
Publication Date:   21 March 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Introduction; Part I. Background: 1. Bicategorical background; 2. Coherence for bicategories; 3. Gray-categories; Part II. Tricategories: 4. The algebraic definition of tricategory; 5. Examples; 6. Free constructions; 7. Basic structure; 8. Gray-categories and tricategories; 9. Coherence via Yoneda; 10. Coherence via free constructions; Part III. Gray monads: 11. Codescent in Gray-categories; 12. Codescent as a weighted colimit; 13. Gray-monads and their algebras; 14. The reflection of lax algebras into strict algebras; 15. A general coherence result; Bibliography; Index.

Reviews

'Despite the complexity of the issue, the detailed treatment of the subject, fairly typical of the author, leaves no room for ambiguity, and the text can be followed very well by any attentive reader.' Josep Elgueta, Mathematical Reviews


Author Information

Nick Gurski is a Lecturer in the School of Mathematics and Statistics at the University of Sheffield.

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