Discrete Set/Examples
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Examples of Discrete Sets
Natural Numbers
Let $T = \struct {\R, \tau_d}$ be the real number line with the usual (Euclidean) topology.
The natural numbers $\N$ form a discrete set within $T$.
Rational Numbers
Let $T = \struct {\R, \tau_d}$ be the real number line with the usual (Euclidean) topology.
The rational numbers $\Q$ do not form a discrete set within $T$.