Calculating maps between n-categories
Simpson, Carlos
HAL, hal-00118004 / Harvested from HAL
Text on HAL
We give an explicit way of calculating the set of homotopy classes of morphisms from a Tamsamani n-category A to another one B. This calculation uses a Reedy-cofibrant cosimplicial resolution of A, using a new notion of ``free cofibration'' of n-precats. The free cofibrations of n-precats seem to be the analogue for n-categories of the Bousfield-Kan cofibrations in the theory of diagrams.
Publié le : 2000-07-05
Classification:  [MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT],  [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT] 
@article{hal-00118004,
     author = {Simpson, Carlos},
     title = {Calculating maps between n-categories},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00118004}
}

Simpson, Carlos. Calculating maps between n-categories. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00118004/