# Category:Definitions/Real Number Line with Euclidean Topology

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This category contains definitions related to Real Number Line with Euclidean Topology.

Related results can be found in Category:Real Number Line with Euclidean Topology.

Let $\R$ denote the real number line.

Let $d: \R \times \R \to \R$ denote the Euclidean metric on $\R$.

Let $\tau_d$ denote the topology on $\R$ induced by $d$.

The topology $\tau_d$ induced by $d$ is called the **Euclidean topology**.

Hence $\struct {\R, \tau_d}$ is referred to as the **real number line with the Euclidean topology**.

## Pages in category "Definitions/Real Number Line with Euclidean Topology"

The following 5 pages are in this category, out of 5 total.