Some properties of the theory of n-categories
Simpson, Carlos
HAL, hal-00118005 / Harvested from HAL
Text on HAL
Let $L_n$ denote the Dwyer-Kan localization of the category of weak n-categories divided by the n-equivalences. We propose a list of properties that this simplicial category is likely to have, and conjecture that these properties characterize $L_n$ up to equivalence. We show, using these properties, how to obtain the morphism $n-1$-categories between two points in an object of $L_n$ and how to obtain the composition map between the morphism objects.
Publié le : 2001-07-05
Classification:  [MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT] 
@article{hal-00118005,
     author = {Simpson, Carlos},
     title = {Some properties of the theory of n-categories},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00118005}
}

Simpson, Carlos. Some properties of the theory of n-categories. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00118005/