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$\infty$-Operads as Analytic Monads. (arXiv:1712.06469v1 [math.AT])

来源于:arXiv
We develop an $\infty$-categorical version of the classical theory of polynomial and analytic functors, initial algebras, and free monads. Using this machinery, we provide a new model for $\infty$-operads, namely $\infty$-operads as analytic monads. We justify this definition by proving that the $\infty$-category of analytic monads is equivalent to that of dendroidal Segal spaces, which are known to be equivalent to the other existing models for $\infty$-operads. 查看全文>>