
On Operads, Bimodules and Analytic Functors
American Mathematical Society (Publisher)
Will be published approx. on 30. October 2017
Book
Paperback/Softback
110 pages
978-1-4704-2576-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
180 gr
ISBN-13
978-1-4704-2576-0 (9781470425760)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Nicola Gambino, University of Leeds, United Kingdom.
Andre Joyal, Universite du Quebec a Montreal, Quebec, Canada.
Andre Joyal, Universite du Quebec a Montreal, Quebec, Canada.
Content
Introduction
Background
Monoidal distributors
Symmetric sequences
The bicategory of operad bimodules
Cartesian closure of operad bimodules
Appendix A. A compendium of bicategorical definitions
Appendix B. A technical proof
Bibliography.
Background
Monoidal distributors
Symmetric sequences
The bicategory of operad bimodules
Cartesian closure of operad bimodules
Appendix A. A compendium of bicategorical definitions
Appendix B. A technical proof
Bibliography.