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  3. Coherence in Three-Dimensional Category Theory
  • Cited by 19
Publisher:
Cambridge University Press
Online publication date:
April 2013
Print publication year:
2013
Online ISBN:
9781139542333
DOI:
https://doi.org/10.1017/CBO9781139542333
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets
Series:
Cambridge Tracts in Mathematics (201)
Information

Book description

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.

Reviews

'Despite the complexity of the issue, the detailed treatment of the subject, fairly typical of the author, leaves no room for ambiguity, and the text can be followed very well by any attentive reader.'

Josep Elgueta Source: Mathematical Reviews

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Contents

Contents
References
Bibliography
Bibliography
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