KnowraMetric spaceLinked fromLinked fromThe 61 pages that link to Metric space, each with the reason it gives.All 61Related 8Narrower topic 45Compared with 8Topological spaceCompared with: Every metric induces a topology, but topological spaces need not have a compatible metric.Affine spaceCompared with: A metric supplies distances, which affine structure alone does not determine.Measure spaceCompared with: A metric measures distances between points rather than sizes of measurable subsets.Normal spaceCompared with: Every metric space is normal, making metric spaces a familiar stronger setting.Algebraic structureCompared with: Metric spaces equip sets with measurements and axioms, but not algebraic operations.Felix HausdorffCompared with: Every metric space is Hausdorff, but Hausdorff spaces need not come from distances.General topologyCompared with: Every metric induces a topology, but general topology also studies spaces with no compatible metric.Tube lemmaCompared with: The tube lemma requires no distance function, unlike many familiar compactness arguments.