An Introduction to n-Categories
| dc.creator | Baez, John C. | |
| dc.date | 1997-05-13 | |
| dc.date.accessioned | 2026-07-07T09:17:33Z | |
| dc.date.available | 2026-07-07T09:17:33Z | |
| dc.description | An n-category is some sort of algebraic structure consisting of objects, morphisms between objects, 2-morphisms between morphisms, and so on up to n-morphisms, together with various ways of composing them. We survey various concepts of n-category, with an emphasis on `weak' n-categories, in which all rules governing the composition of j-morphisms hold only up to equivalence. (An n-morphism is an equivalence if it is invertible, while a j-morphism for j < n is an equivalence if it is invertible up to a (j+1)-morphism that is an equivalence.) We discuss applications of weak n-categories to various subjects including homotopy theory and topological quantum field theory, and review the definition of weak n-categories recently proposed by Dolan and the author. | |
| dc.description | 34 pages LaTeX, 30 encapsulated Postscript figures, 2 style files | |
| dc.identifier | https://arxiv.org/abs/q-alg/9705009 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9705009 | |
| dc.identifier | 7th Conference on Category Theory and Computer Science, eds. E. Moggi and G. Rosolini, Lecture Notes in Computer Science vol. 1290, Springer, Berlin, 1997, pp. 1-33 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153707 | |
| dc.subject | Quantum Algebra | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | An Introduction to n-Categories | |
| dc.type | text |