nLab
inductive limit

Context

Category theory

Limits and colimits

An inductive limit is the same thing as a colimit. (Similarly, a projective limit is the same thing as a limit.) In this context, an inductive system is the same thing as a diagram, and an inductive cone is the same thing as a cocone.

Many authors restrict this terminology to colimits over directed sets (or filtered categories), especially the directed set (,)(\mathbb{N},\leq) of natural numbers; see directed colimit (or filtered colimit) for discussion of this case if you think that it may be what you want.

Revised on July 28, 2011 02:00:58 by Toby Bartels (76.85.192.183)