Banach–Mazur compactum

In the mathematical study of functional analysis, the Banach–Mazur distance is a way to define a distance on the set ${\displaystyle Q(n)}$ of ${\displaystyle n}$-dimensional normed spaces. With this distance, the set of isometry classes of ${\displaystyle n}$-dimensional normed spaces becomes a compact metric space, called the Banach–Mazur compactum.