Definition:Deleted Radius Topology

Definition
Let $\struct {\R^2, \tau_d}$ be the real number plane with the usual (Euclidean) topology induced by the Euclidean metric $d$.

Let $\BB$ be the sub-basis of $\tau_d$ defined as the set of all open balls of $\struct {\R^2, d}$ with the horizontal radii to the right of the centers excluded.

Let $\tau$ be the topology generated from $\BB$.

$\tau$ is referred to as the deleted radius topology.

Also see

 * Deleted Radius Topology is Topology


 * Definition:Deleted Diameter Topology