Geodesic
Operads in higher-dimensional category theory
Theory and applications of categories, Tome 12 (2004), pp. 73-194

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The purpose of this paper is to set up a theory of generalized operads and multicategories and to use it as a language in which to propose a definition of weak n-category. Included is a full explanation of why the proposed definition of n-category is a reasonable one, and of what happens when n is less than or equal to 2. Generalized operads and multicategories play other parts in higher-dimensional algebra too, some of which are outlined here: for instance, they can be used to simplify the opetopic approach to n-categories expounded by Baez, Dolan and others, and are a natural language in which to discuss enrichment of categorical structures.

Classification : 18D05, 18D50, 18F99, 18A99
Keywords: n-category, operad, higher-dimensional category 
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     author = {Tom Leinster},
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Tom Leinster. Operads in higher-dimensional category theory. Theory and applications of categories, Tome 12 (2004), pp. 73-194. http://geodesic.mathdoc.fr/item/TAC_2004_12_a2/