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math.CT2000
Operads in Higher-Dimensional Category Theory
Tom Leinster
The purpose of this dissertation 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.…
math.QA2000
Homotopy Algebras for Operads
Tom Leinster
We present a definition of homotopy algebra for an operad, and explore its consequences. The paper should be accessible to topologists, category theorists, and anyone acquainted wi…