Ebook: On Operads, Bimodules and Analytic Functors
Author: Nicola Gambino, André Joyal
- Tags: Operads., Functor theory., Algebra Homological., MAT000000, NON000000, NON000000
- Series: Memoirs of the American Mathematical Society
- Year: 2017
- Publisher: American Mathematical Society
- City: Providence, United States
- Edition: 1
- Language: English
- pdf
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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