A Model Independent Universal Property for the Lax 2-Functor Classifier
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909880572444672 |
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| author | Gloßner, Johannes |
| author_facet | Gloßner, Johannes |
| contents | In this article we provide a model-independent definition of the concept of lax $2$-functors from $(\infty,2)$-category theory and show that it agrees with the existing and widely used combinatorial model for those in terms of inert-cocartesian functors, which is utilized for example in the foundational work of Gaitsgory and Rozenblyum on Derived Algebraic Geometry to talk about the lax Gray tensor product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27557 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Model Independent Universal Property for the Lax 2-Functor Classifier Gloßner, Johannes Category Theory Algebraic Topology 18N65, 18N60, 55U35 In this article we provide a model-independent definition of the concept of lax $2$-functors from $(\infty,2)$-category theory and show that it agrees with the existing and widely used combinatorial model for those in terms of inert-cocartesian functors, which is utilized for example in the foundational work of Gaitsgory and Rozenblyum on Derived Algebraic Geometry to talk about the lax Gray tensor product. |
| title | A Model Independent Universal Property for the Lax 2-Functor Classifier |
| topic | Category Theory Algebraic Topology 18N65, 18N60, 55U35 |
| url | https://arxiv.org/abs/2510.27557 |