# Calculating maps between n-categories

Abstract : 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.
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Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-00118004
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Submitted on : Sunday, December 3, 2006 - 10:52:55 PM
Last modification on : Friday, January 12, 2018 - 1:51:52 AM

### Citation

Carlos Simpson. Calculating maps between n-categories. 2000. ⟨hal-00118004⟩

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