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On Operads Bimodules and Analytic Functors 1st Edition by Nicola Gambino, André Joyal ISBN 9781470441357 1470441357

Name: On Operads Bimodules and Analytic Functors 1st Edition by Nicola Gambino, André Joyal ISBN 9781470441357 1470441357
SKU: EB-51625432
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On Operads Bimodules and Analytic Functors 1st Edition Nicola Gambino Digital Instant Download

Author(s): Nicola Gambino; André Joyal

ISBN(s): 9781470441357, 1470441357

Edition: 1

File Details: PDF, 1.03 MB

Year: 2017

Language: English

SKU: EB-51625432 Category: Uncategorized Tags: André Joyal, Nicola Gambino

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On Operads Bimodules and Analytic Functors 1st Edition by Nicola Gambino, André Joyal – Ebook PDF Instant Download/Delivery: 9781470441357 ,1470441357
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ISBN 10: 1470441357
ISBN 13: 9781470441357
Author: Nicola Gambino, André Joyal

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.

On Operads Bimodules and Analytic Functors 1st Edition Table of contents:

Chapter 1: Background
A review of bicategory theory, V-categories, presentable V-categories, and distributors.
Chapter 2: Monoidal Distributors
Exploration of monoidal V-categories and V-rigs, symmetric monoidal V-categories, and symmetric monoidal distributors.
Chapter 3: Symmetric Sequences
Discussion on free symmetric monoidal V-categories, S-distributors, symmetric sequences, and the Cartesian closure of categorical symmetric sequences
Chapter 4: The Bicategory of Operad Bimodules
Detailed analysis of monads, modules, and bimodules; tame bicategories; bicategories of bimodules; monad morphisms and bimodules; and the tameness of bicategories of symmetric sequences.
Chapter 5: Cartesian Closure of Operad Bimodules
Investigation into analytic functors and the Cartesian closure property of operad bimodules.