The Gray tensor product via factorisation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00096277" target="_blank" >RIV/00216224:14310/17:00096277 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s10485-016-9467-6" target="_blank" >http://link.springer.com/article/10.1007/s10485-016-9467-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10485-016-9467-6" target="_blank" >10.1007/s10485-016-9467-6</a>

Result language
angličtina
Original language name
The Gray tensor product via factorisation
Original language description
We discuss the folklore construction of the Gray tensor product of 2-categories as obtained by factoring the map from the funny tensor product to the cartesian product. We show that this factorisation can be obtained without using a concrete presentation of the Gray tensor product, but merely its defining universal property, and use it to give another proof that the Gray tensor product forms part of a symmetric monoidal structure. The main technical tool is a method of producing new algebra structures over Lawvere 2-theories from old ones via a factorisation system.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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