Hausdorff

Hausdorff may refer to:

  • A Hausdorff space, when used as an adjective, as in "the real line is Hausdorff."
  • Felix Hausdorff (1868–1942), the German mathematician after whom Hausdorff spaces are named
  • Hausdorff dimension, a measure theoretic concept of dimension
  • The Hausdorff distance, or Hausdorff metric, which measures how far two compact non-empty subsets of a metric space are from each other
  • Hausdorff density
  • Hausdorff maximal principle
  • Hausdorff measure
  • Hausdorff moment problem
  • Hausdorff paradox

Other articles related to "hausdorff":

Analytic Capacity in Terms of Hausdorff Dimension
... Let denote Hausdorff dimension and denote 1-dimensional Hausdorff measure ... Then implies while guarantees ...
Multidimensional - In Mathematics - Hausdorff Dimension
... For structurally complicated sets, especially fractals, the Hausdorff dimension is useful ... The Hausdorff dimension is defined for all metric spaces and, unlike the Hamel dimension, can also attain non-integer real values ...
Locally Hausdorff Space
... in the field of topology, a topological space is said to be locally Hausdorff if every point has an open neighbourhood that is Hausdorff under the subspace topology ... Here are some facts Every Hausdorff space is locally Hausdorff ... Every locally Hausdorff space is T1 ...
Collectionwise Hausdorff Space
... mathematics, in the field of topology, a topological space is said to be collectionwise Hausdorff if given any closed discrete collection of points in the ... Every T1 space which is collectionwise Hausdorff is also Hausdorff ... spaces and are hence, in particular, collectionwise Hausdorff ...