Definition:Rational Number Space

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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.