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arXiv 2017-11-21 1 views

Operations in Leinster's Weak ω-Category Operad

Raftogianis, Kyle

Original · EN

Batanin defines a weak ω-category as an algebra for a certain operad. Leinster refines this idea and defines the weak ω-category operad as the initial object of a category of "operads with contraction". We demonstrate how a higher category structure arises from this definition by explicitly constructing various composites, associativity and coherence laws, and an Eckmann-Hilton braiding.

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