Coherence in three-dimensional category theory / Nick Gurski, University of Sheffield.
"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. Alon...
Saved in:
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2013.
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| Series: | Cambridge tracts in mathematics ;
201. |
| Subjects: | |
| Physical Description: | vii, 278 pages : illustrations ; 24 cm. |
| Format: | Book |
MARC
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| 100 | 1 | |a Gurski, Nick, |d 1980- |0 http://id.loc.gov/authorities/names/n2013005857 | |
| 245 | 1 | 0 | |a Coherence in three-dimensional category theory / |c Nick Gurski, University of Sheffield. |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2013. | |
| 300 | |a vii, 278 pages : |b illustrations ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Cambridge tracts in mathematics ; |v 201 | |
| 504 | |a Includes bibliographical references (pages 273-276) and index. | ||
| 505 | 8 | |a 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. | |
| 520 | |a "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"-- |c Provided by publisher. | ||
| 520 | |a "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. "-- |c Provided by publisher. | ||
| 650 | 0 | |a Tricategories. |0 http://id.loc.gov/authorities/subjects/sh95004189. |0 http://id.loc.gov/authorities/subjects/sh95004189 | |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 201. |0 http://id.loc.gov/authorities/names/n42005726. |0 http://id.loc.gov/authorities/names/n42005726 | |
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