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Gray tensor products and Lax functors of (∞,2)-categories
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SYSNO ASEP 0545388 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Gray tensor products and Lax functors of (∞,2)-categories Author(s) Gagna, A. (CZ)
Harpaz, Y. (FR)
Lanari, Edoardo (MU-W) SAI, ORCIDArticle number 107986 Source Title Advances in Mathematics. - : Elsevier - ISSN 0001-8708
Roč. 391, November (2021)Number of pages 32 s. Language eng - English Country US - United States Keywords Gray tensor product ; higher category theory ; homotopy theory Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000701013100010 EID SCOPUS 85113474279 DOI 10.1016/j.aim.2021.107986 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.1016/j.aim.2021.107986
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