Coherence in Three-Dimensional Category Theory (Cambridge Tracts in Mathematics)
Nick Gurski, "Coherence in Three-Dimensional Category Theory (Cambridge Tracts in Mathematics)"
Publisher: Ca***ge University Press | ISBN: 1107034892 | 2013 | PDF | 286 pages | 4.7 MB
Publisher: Ca***ge University Press | ISBN: 1107034892 | 2013 | PDF | 286 pages | 4.7 MB
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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