| eBook ISBN: | 978-1-4704-4135-7 |
| Product Code: | MEMO/249/1184.E |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $45.00 |
| eBook ISBN: | 978-1-4704-4135-7 |
| Product Code: | MEMO/249/1184.E |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $45.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 249; 2017; 110 ppMSC: Primary 18; Secondary 55
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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Table of Contents
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Chapters
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Introduction
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1. Background
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2. Monoidal distributors
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3. Symmetric sequences
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4. The bicategory of operad bimodules
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5. Cartesian closure of operad bimodules
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A. A compendium of bicategorical definitions
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B. A technical proof
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Additional Material
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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.
-
Chapters
-
Introduction
-
1. Background
-
2. Monoidal distributors
-
3. Symmetric sequences
-
4. The bicategory of operad bimodules
-
5. Cartesian closure of operad bimodules
-
A. A compendium of bicategorical definitions
-
B. A technical proof
