# Definition:Rational Number Space

## Definition

Let $\Q$ be the set of rational numbers.

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

Let $\tau_d$ be the topology on $\Q$ induced by $d$.

Then $\struct {\Q, \tau_d}$ is the rational number space.

## Also see

• Results about the rational number space can be found here.