Geodesic
Mapping Spaces of Gray-Categories
Theory and applications of categories, Tome 29 (2014), pp. 100-187.

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

We define a mapping space for Gray-enriched categories adapted to higher gauge theory. Our construction differs significantly from the canonical mapping space of enriched categories in that it is much less rigid. The two essential ingredients are a path space construction for Gray-categories and a kind of comonadic resolution of the 1-dimensional structure of a given Gray-category obtained by lifting the resolution of ordinary categories along the canonical fibration of GrayCat over Cat.
Publié le :
Classification : primary: 18D05, 18D20, secondary: 55Q15
Keywords: Higher gauge theory, Gray-categories 
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     author = {Bj\"orn Gohla},
     title = {Mapping {Spaces} of {Gray-Categories}},
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     pages = {100--187},
     publisher = {mathdoc},
     volume = {29},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2014_29_a4/}
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Björn Gohla. Mapping Spaces of Gray-Categories. Theory and applications of categories, Tome 29 (2014), pp. 100-187. http://geodesic.mathdoc.fr/item/TAC_2014_29_a4/