Category:Definitions/Real Number Plane with Euclidean Topology

This category contains definitions related to Real Number Plane with Euclidean Topology.
Related results can be found in Category:Real Number Plane with Euclidean Topology.

Let $\R^n$ be an $n$-dimensional real vector space.

Let $M = \struct {\R^2, d}$ be a real Euclidean space of $2$ dimensions.

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

The space $\struct {\R^2, \tau_d}$ is known as the (real) Euclidean plane.