Definition:Euclidean Space/Euclidean Topology/Real Number Line
Let $\R$ be the set of real numbers.
The topology $\tau_d$ induced by $d$ is called the Euclidean topology.
Also known as
The Euclidean topology is sometimes called the usual topology.
- Results about Euclidean spaces can be found here.
Source of Name
This entry was named for Euclid.
They bear that name because the geometric space which it gives rise to is Euclidean in the sense that it is consistent with Euclid's fifth postulate.