Geodesic
String diagrams for 4-categories and fibrations of mapping 4-groupoids
Theory and applications of categories, Tome 41 (2024), pp. 1352-1398.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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.
Publié le :
Classification : 18N20, 18N30
Keywords: string diagrams, fibrations, higher categories 
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     author = {Manuel Ara\'ujo},
     title = {String diagrams for 4-categories and fibrations of mapping 4-groupoids},
     journal = {Theory and applications of categories},
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     volume = {41},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a37/}
}
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Manuel Araújo. String diagrams for 4-categories and fibrations of mapping 4-groupoids. Theory and applications of categories, Tome 41 (2024), pp. 1352-1398. http://geodesic.mathdoc.fr/item/TAC_2024_41_a37/