Operations in Leinster's Weak $\omega$-Category Operad

Kyle Raftogianis

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arXiv · 1711.07958

Operations in Leinster's Weak $\omega$-Category Operad

Kyle Raftogianis

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Abstract

Batanin defines a weak $\omega$-category as an algebra for a certain operad. Leinster refines this idea and defines the weak $\omega$-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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Kyle Raftogianis. 2017-11-21. Operations in Leinster's Weak $\omega$-Category Operad. https://arxiv.org/abs/1711.07958

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