Category:Discrete Rational Extension of Reals

This category contains results about Discrete Rational Extension of Reals.

Let $\struct {\R, \tau_d}$ be the real number line with the usual (Euclidean) topology.

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

Let $\BB$ be the set of sets defined as:

$\BB = \tau_d \cup \set {\set x: x \in \Q}$

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

$\tau^*$ is referred to as the discrete rational extension of $\R$.