Coherence in three-dimensional category theory / Nick Gurski.
"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....
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| Year of Publication: | 2013 |
| Language: | English |
| Series: | Cambridge tracts in mathematics ;
201 |
| Online Access: | |
| Physical Description: | vii, 278 p. :; ill. |
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| 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"-- |
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| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781107034891 (hardback) 9781107333574 (electronic bk.) |
| Hierarchical level: | Monograph |
| Statement of Responsibility: | Nick Gurski. |