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 
@article{TAC_2014_29_a4,
     author = {Bj\"orn Gohla},
     title = {Mapping {Spaces} of {Gray-Categories}},
     journal = {Theory and applications of categories},
     pages = {100--187},
     publisher = {mathdoc},
     volume = {29},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2014_29_a4/}
}
TY  - JOUR
AU  - Björn Gohla
TI  - Mapping Spaces of Gray-Categories
JO  - Theory and applications of categories
PY  - 2014
SP  - 100
EP  - 187
VL  - 29
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2014_29_a4/
LA  - en
ID  - TAC_2014_29_a4
ER  - 
%0 Journal Article
%A Björn Gohla
%T Mapping Spaces of Gray-Categories
%J Theory and applications of categories
%D 2014
%P 100-187
%V 29
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2014_29_a4/
%G en
%F TAC_2014_29_a4
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/