Coherence in three-dimensional category theory / Nick Gurski, University of Sheffield.
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...
Uniform Title: | Cambridge tracts in mathematics ;
201. |
---|---|
Main Author: | |
Language: | English |
Published: |
Cambridge :
Cambridge University Press,
2013.
|
Series: | Cambridge tracts in mathematics ;
201. |
Subjects: | |
Online Access: | |
Physical Description: | 1 online resource (vii, 278 pages) : digital, PDF file(s). |
Format: | Electronic eBook |
Summary: |
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. |
---|---|
Note: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
Call Number: | QA169 .G87 2013 |
ISBN: | 9781139542333 (ebook) |
DOI: | 10.1017/CBO9781139542333 |