Operads In Higher-Dimensional Category Theory

Operads In Higher-Dimensional Category Theory (2004)

by Tom Leinster

Citations:

30 - 2 self

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Datum	Value	Source
TITLE	Operads In Higher-Dimensional Category Theory	user correction - Legacy Corrections
AUTHOR NAME	Tom Leinster	user correction
AUTHOR ADDR		user correction
ABSTRACT	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 <= 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.	user correction
YEAR	2004	user correction - Legacy Corrections
VENUE TYPE	TECHREPORT	INFERENCE
PAGES	73--194	INFERENCE
VOLUME	12	user correction
NUMBER	3	user correction
CITATIONS	44 found	ParsCit 1.0