Coherence in three-dimensional category theory
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...
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Format: | eBook |
Language: | English |
Published: |
Cambridge
Cambridge University Press
2013
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Series: | Cambridge tracts in mathematics
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Subjects: | |
Online Access: | |
Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
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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Physical Description: | vii, 278 pages digital |
ISBN: | 9781139542333 |