# Definition:Topology on Extended Real Numbers

(Redirected from Definition:Extended Real Number Space)

Jump to navigation
Jump to search
## Definition

Let $\overline \R$ denote the extended real numbers.

The **(standard) topology on $\overline \R$** is the order topology $\tau$ associated to the ordering on $\overline \R$.

### Extended Real Number Space

The topological space $\left({\overline \R, \tau}\right)$ may be referred to as the **extended real number space**.

## Also see

- Results about
**the extended real number space**can be found here.