Bourke, J. and Gurski, M.N. (2015) A cocategorical obstruction to tensor products of Gray-categories. Theory and Applications of Categories, 30 (11). pp. 387-409. ISSN 1201-561X
Abstract
It was argued by Crans that it is too much to ask that the category of Gray-categories admit a well behaved monoidal biclosed structure. We make this precise by establishing undesirable properties that any such monoidal biclosed structure must have. In particular we show that there does not exist any tensor product making the model category of Gray-categories into a monoidal model category.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © The Editors of Theory and Applications of Categories. |
| Keywords: | Gray-category; monoidal biclosed category; cocategory |
| Dates: |
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| Institution: | The University of Sheffield |
| Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
| Funding Information: | Funder Grant number ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL (EPSRC) EP/K007343/1 |
| Depositing User: | Symplectic Sheffield |
| Date Deposited: | 13 May 2016 13:05 |
| Last Modified: | 19 May 2016 10:33 |
| Published Version: | http://www.tac.mta.ca/tac/volumes/30/11/30-11abs.h... |
| Status: | Published |
| Publisher: | Mount Allison University |
| Refereed: | Yes |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98614 |
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