Category:Real Number Plane with Euclidean Topology

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This category contains results about Real Number Plane with Euclidean Topology.
Definitions specific to this category can be found in Definitions/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.