Coherence in Three-Dimensional Category Theory

By Nick Gurski and Milford E. Anness

Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science.

• Format: Hardcover
• Language: English
• ISBN: 1107034892
• ISBN13: 9781107034891
• Release Date: May 2013
• Publisher: Cambridge University Press
• Length: 286 Pages
• Weight: 1.15 lbs.
• Dimensions: 0.8" x 6.0" x 9.1"