| center | : | The Center of European Languages of Qom(Ale Beit Publications) |
| Document Type | : | BL |
| Record Number | : | 1651 |
| Doc. No | : | b11733 |
| Language of Document | : | English |
| Main Entry | : | Gurski, Nick, 1980 |
| Title & Author | : | Coherence in three-dimensional category theory/ Nick Gurski, University of Sheffield |
| Series Statement | : | (Cambridge tracts in mathematics ; 201) |
| Page. NO | : | vii, 278 pages: illustrations ; 24 cm. |
| ISBN | : | 9781107034891(hardback) |
| Notes | : | Print |
| Bibliographies/Indexes | : | Includes bibliographical references (pages 273-276) and index. |
| Contents | : | 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. |
| | "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. |
| | "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. |
| Subject | : | Tricategories |
| Subject | : | MATHEMATICS / Logic.bisacsh |
| Dewey Classification | : | 512.55 |
| LC Classification | : | QA169.G87 2013 |