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Coherence for Tricategories
Robert Gordon
Anthony John Power
Ross Street
出版
American Mathematical Soc.
, 1995
主題
Mathematics / General
Mathematics / Algebra / Linear
Mathematics / Topology
ISBN
0821803441
9780821803448
URL
http://books.google.com.hk/books?id=S2zTCQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
The need to address the appropriate three-dimensional generalization of category (tricategory) has been felt in homotopy theory, low-dimensional topology, cohomology theory, category theory, and quantum field theory. Benabou's bicategories provide the two-dimensional notion into which examples naturally fit. In developing the theory of bicategories it is very reassuring to know the coherence theorem: They can be replaced by the stricter 2-categories which are merely categories enriched in the category of categories. In this book, the authors provide ... the unique source of the full definition of tricategory a thorough and complete proof of the coherence theorem for tricategories a wholly modern source of material on Gray's tensor product of 2-categories