Calculating maps between n-categories - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2000

Calculating maps between n-categories

Carlos Simpson

Résumé

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.

Dates et versions

hal-00118004 , version 1 (03-12-2006)

Identifiants

Citer

Carlos Simpson. Calculating maps between n-categories. 2000. ⟨hal-00118004⟩
61 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More