Relatively Compact Subspace/Examples

Examples of Relatively Compact Subspaces

$\openint 0 1$ in $\R$

The open unit interval $\openint 0 1$ is a relatively compact subspace of the real number line $\R$.

$\openint 0 1$ in $\openint 0 1$

The open unit interval $\openint 0 1$ is not a relatively compact subspace of $\openint 0 1$ itself.