9781107034891

Coherence in Three-dimensional Category Theory

by
  • ISBN13:

    9781107034891

  • ISBN10:

    1107034892

  • Format: Hardcover
  • Copyright: 5/31/2013
  • Publisher: Cambridge Univ Pr
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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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