Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
The theory of 2-toposes, generalizing topos theory from category theory to 2-category theory.
The analog of the Elephant for 2-topos theory still needs to be written.
For some speculations and further references, see this page.
Revised on November 7, 2010 15:57:30
by Mike Shulman