String diagrams for $4$-categories and fibrations of mapping $4$-groupoids
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866912052281344000 |
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| author | Araújo, Manuel |
| author_facet | Araújo, Manuel |
| contents | We introduce a string diagram calculus for strict $4$-categories and use it to prove that given a cofinite inclusion of $4$-categorical presentations, the induced restriction functor on mapping spaces to a fixed target strict $4$-category is a fibration of strict $4$-groupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_03797 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | String diagrams for $4$-categories and fibrations of mapping $4$-groupoids Araújo, Manuel Category Theory Algebraic Topology Quantum Algebra 18N20, 18N30 We introduce a string diagram calculus for strict $4$-categories and use it to prove that given a cofinite inclusion of $4$-categorical presentations, the induced restriction functor on mapping spaces to a fixed target strict $4$-category is a fibration of strict $4$-groupoids. |
| title | String diagrams for $4$-categories and fibrations of mapping $4$-groupoids |
| topic | Category Theory Algebraic Topology Quantum Algebra 18N20, 18N30 |
| url | https://arxiv.org/abs/2012.03797 |