mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance, measures how far two subsets of a metric space are from...

mathematics, Gromov–Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a generalization...

referred to as the Hausdorff–Besicovitch dimension. More specifically, the Hausdorff dimension is a dimensional number associated with a metric space, i.e. a...

Gromov–Hausdorff distance between metric spaces themselves). Formally, a metric space is an ordered pair (M, d) where M is a set and d is a metric on M...

{\displaystyle \mathbb {R} ^{n}} or, more generally, in any metric space. The zero-dimensional Hausdorff measure is the number of points in the set (if the set...

dimension Hausdorff distance or Hausdorff metric, which measures how far two compact non-empty subsets of a metric space are from each other Hausdorff density...

principle Hausdorff measure Hausdorff metric Hausdorff moment problem Hausdorff paradox Hausdorff space Hausdorff–Young inequality Baker–Campbell–Hausdorff formula...

Hausdorff; most importantly, the real numbers (under the standard metric topology on real numbers) are a Hausdorff space. More generally, all metric spaces...

normal Hausdorff spaces, or at least normal regular spaces: All metric spaces (and hence all metrizable spaces) are perfectly normal Hausdorff; All pseudometric...

{\displaystyle M} for a metric space if it is clear from the context what metric is used. Every metric space is paracompact and Hausdorff, and thus normal....