@Mike well, it's long, but:
Metric, Pseudometrics, discrete spaces, $l_1^n, l_2^n, l_\infty^n$ and $l_1, l_2, l_\infty$, $C[a,b]$, isometry, embedding, bounded metric space, bounded functions, bounds, diameter, distance, open and closed balls, interior, exterior, closue, boundary, open and closed subspaces, neighbourhood, intervals, Cantor set, $F_\sigma$ and $G_\lambda$, dense, nowhere-dense (meager), separeable - and that's where I stopped