On Operads, Bimodules and Analytic Functors, Paperback / softback Book

On Operads, Bimodules and Analytic Functors Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

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The authors develop further the theory of operads and analytic functors.

In particular, they introduce the bicategory $\operatorname{OpdBim}_{\mathcal{V}}$ of operad bimodules, that has operads as $0$-cells, operad bimodules as $1$-cells and operad bimodule maps as 2-cells, and prove that it is cartesian closed.

In order to obtain this result, the authors extend the theory of distributors and the formal theory of monads.

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