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Gambino, N orcid.org/0000-0002-4257-3590 and Joyal, A (2017) On operads, bimodules and analytic functors. Memoirs of the American Mathematical Society, 249. 1184. ISSN 0065-9266
Abstract
We develop further the theory of operads and analytic functors. In particular, we introduce the bicategory OpdBimV 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, we extend the theory of distributors and the formal theory of monads.
Metadata
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Copyright, Publisher and Additional Information: | © 2017 by the American Mathematical Society. All rights reserved. This is an author produced version of an article first published in Memoirs of the American Mathematical Society, 249 (September 2017), published by the American Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. | ||||||||
Keywords: | Operad, bimodule, bicategory, symmetric sequence, analytic functor | ||||||||
Dates: |
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Institution: | The University of Leeds | ||||||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) | ||||||||
Funding Information: |
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Depositing User: | Symplectic Publications | ||||||||
Date Deposited: | 10 Jun 2015 11:03 | ||||||||
Last Modified: | 16 Jan 2018 05:12 | ||||||||
Status: | Published | ||||||||
Publisher: | American Mathematical Society | ||||||||
Identification Number: | https://doi.org/10.1090/memo/1184 |
Available Versions of this Item
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On operads, bimodules and analytic functors. (deposited 25 Jul 2014 12:24)
- On operads, bimodules and analytic functors. (deposited 10 Jun 2015 11:03) [Currently Displayed]