nLab
isocofibration

A morphism f:ABf:A\to B in a strict 2-category KK is an isocofibration if the corresponding morphism BAB\to A in K opK^{op} is an isofibration.

In CatCat, the isocofibrations are the functors which are injective on objects. There they are the cofibrations in the canonical model structure on Cat. However, a general 2-category has two candidates for a canonical model structure, one involving the isofibrations and one the isocofibrations, and in general the two may not be the same.

Created on April 19, 2010 21:56:00 by Mike Shulman (128.135.194.155)