Nick Gurski

Coherence in Three-Dimensional Category Theory

• Gebundenes Buch

Produktbeschreibung

Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.

Produktdetails

• Verlag: European Community
• Seitenzahl: 286
• Erscheinungstermin: 6. Mai 2013
• Englisch
• Abmessung: 236mm x 156mm x 20mm
• Gewicht: 519g
• ISBN-13: 9781107034891
• ISBN-10: 1107034892
• Artikelnr.: 36955838

Autorenporträt

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

Inhaltsangabe

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.