# nLab sequential limit

### Context

#### Limits and colimits

limits and colimits

# 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 $\omega$.

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

Revised on February 15, 2016 13:50:10 by Urs Schreiber (31.55.9.40)