Gray tensor products and Lax functors of (∞,2)-categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00545388" target="_blank" >RIV/67985840:_____/21:00545388 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aim.2021.107986" target="_blank" >https://doi.org/10.1016/j.aim.2021.107986</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2021.107986" target="_blank" >10.1016/j.aim.2021.107986</a>

Result language
angličtina
Original language name
Gray tensor products and Lax functors of (∞,2)-categories
Original language description
We give a definition of the Gray tensor product in the setting of scaled simplicial sets which is associative and forms a left Quillen bifunctor with respect to the bicategorical model category of Lurie. We then introduce a notion of oplax functor in this setting, and use it in order to characterize the Gray tensor product by means of a universal property. A similar characterization was used by Gaitsgory and Rozenblyum in their definition of the Gray product, thus giving a promising lead for comparing the two settings.
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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