Coherence in Three-Dimensional Category Theory

Informationen zum Autor Nick Gurski is a Lecturer in the School of Mathematics and Statistics at the University of Sheffield. Klappentext Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.Higher category theory is an increasingly important discipline with applications in topology, geometry, logic and theoretical computer science. This comprehensive treatment covers essential material for any student of coherence, or for any researcher wishing to apply higher categories or coherence results in fields such as algebraic topology. Inhaltsverzeichnis 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.

Produktdetails

• Autoren: Nick Gurski, Nick (University of Sheffield) Gurski
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 21.03.2013
• EAN: 9781107034891
• ISBN: 978-1-107-03489-1
• Seiten: 286
• Serien: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Allgemeines, Lexika