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  3. Coherence in Three-Dimensional Category Theory
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 April 2013
    21 March 2013
    ISBN:
    9781139542333
    9781107034891
    DOI:
    https://doi.org/10.1017/CBO9781139542333
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.51kg, 286 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets
    Series:
    Cambridge Tracts in Mathematics (201)
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    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets
    Series:
    Cambridge Tracts in Mathematics (201)
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    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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