nLab sequential limit

Context

Limits and colimits

limits and colimits

Definition

A sequential (co)limit is a limit/colimit whose diagram category is an ordinal or its opposite (regarded as a poset, regarded as a category). For instance over a tower diagram.

Sometimes the term is used even more specifically for a (co)limit over the ordinal $\omega$.

Thus, a sequential limit is a special case of a directed limit. See there for more details.

Revised on November 18, 2013 09:28:21 by Urs Schreiber (82.113.98.175)