Calculating maps between n-categories
Category Theory
2007-05-23 v1 Algebraic Topology
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.
Cite
@article{arxiv.math/0009107,
title = {Calculating maps between n-categories},
author = {Carlos Simpson},
journal= {arXiv preprint arXiv:math/0009107},
year = {2007}
}
Comments
not too long