nLab
sequential limit

Contents

Contents

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 ω\omega.

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

Last revised on February 15, 2016 at 13:50:10. See the history of this page for a list of all contributions to it.