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The Center of European Languages of Qom(Ale Beit Publications)
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Document Type
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BL
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Record Number
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1651
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Doc. No
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b11733
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Language of Document
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English
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Main Entry
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Gurski, Nick, 1980
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Title & Author
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Coherence in three-dimensional category theory/ Nick Gurski, University of Sheffield
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Series Statement
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(Cambridge tracts in mathematics ; 201)
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Page. NO
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vii, 278 pages: illustrations ; 24 cm.
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ISBN
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9781107034891(hardback)
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Notes
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Print
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Bibliographies/Indexes
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Includes bibliographical references (pages 273-276) and index.
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Contents
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Machine generated contents note: Introduction; Part I. Background: 1. Bicategorical background; 2. Coherence for bicategories; 3. Gray-categories; Part II. Tricategories: 4. The algebraic definition of tricategory; 5. Examples; 6. Free constructions; 7. Basic structure; 8. Gray-categories and tricategories; 9. Coherence via Yoneda; 10. Coherence via free constructions; Part III. Gray monads: 11. Codescent in Gray-categories; 12. Codescent as a weighted colimit; 13. Gray-monads and their algebras; 14. The reflection of lax algebras into strict algebras; 15. A general coherence result; Bibliography; Index.
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"In the study of higher categories, dimension three occupies an interesting position on the landscape of higher dimensional category theory. From the perspective of a "hands-on" approach to defining weak n-categories, tricategories represent the most complicated kind of higher category that the community at large seems comfortable working with. "--Provided by publisher.
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"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"--Provided by publisher.
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Subject
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Tricategories
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Subject
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MATHEMATICS / Logic.bisacsh
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Dewey Classification
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512.55
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LC Classification
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QA169.G87 2013
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