Descent on 2-Fibrations and Strongly 2-Regular 2-Categories

We consider pseudo-descent in the context of 2-fibrations. A 2-category of descent data is associated to a 3-truncated simplicial object in the base 2-category. A morphism q in the base induces (via comma-objects and pullbacks) an internal category whose truncated simplicial nerve induces in turn the 2-category of descent data for q. When the 2-fibration admits direct images, we provide the analogous of the Beck-B

• Type: Journal
• Year: 2004
• Where: ACS
• Authors: Claudio Hermida
• Keywords: 2-category, 3-truncated Simplicial Object, ACS 2004, ACS 2007, Descent Data