Hausdorff Regular Normal Space Diagram
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Hausdorff may refer to:


People

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Felix Hausdorff Felix Hausdorff ( , ; November 8, 1868 – January 26, 1942) was a German mathematician, pseudonym Paul Mongré (''à mogré' (Fr.) = "according to my taste"), who is considered to be one of the founders of modern topology and who contributed sig ...
(1868–1942), German mathematician after whom Hausdorff spaces are named *
Natasha Hausdorff Natasha Hausdorff (born October 1989) is a British barrister, international law expert, and member of pro-Israel lobbying group UK Lawyers for Israel.
(born 1989), British
barrister A barrister is a type of lawyer in common law jurisdiction (area), jurisdictions. Barristers mostly specialise in courtroom advocacy and litigation. Their tasks include arguing cases in courts and tribunals, drafting legal pleadings, jurisprud ...
, international news commentator, and Israel advocate


Other

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Hausdorff space In topology and related branches of mathematics, a Hausdorff space ( , ), T2 space or separated space, is a topological space where distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topologi ...
, when used as an adjective, as in "the real line is Hausdorff" *
Hausdorff dimension In mathematics, Hausdorff dimension is a measure of ''roughness'', or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff. For instance, the Hausdorff dimension of a single point is zero, of a line ...
, a measure theoretic concept of dimension *
Hausdorff distance In mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance, measures how far two subsets of a metric space are from each other. It turns the set of non-empty set, non-empty compact space, compact subsets o ...
or Hausdorff metric, which measures how far two compact non-empty subsets of a metric space are from each other *
Hausdorff density In measure theory, a field of mathematics, the Hausdorff density measures how concentrated a Radon measure is at some point. Definition Let \mu be a Radon measure and a\in\mathbb^ some point in Euclidean space. The ''s''-dimensional upper and lo ...
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Hausdorff maximal principle In mathematics, the Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168). It states that in any partially ordered set, every totally ordered subset is contained in ...
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Hausdorff measure In mathematics, Hausdorff measure is a generalization of the traditional notions of area and volume to non-integer dimensions, specifically fractals and their Hausdorff dimensions. It is a type of outer measure, named for Felix Hausdorff, that assi ...
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Hausdorff moment problem In mathematics, the Hausdorff moment problem, named after Felix Hausdorff, asks for necessary and sufficient conditions that a given sequence be the sequence of moments :m_n = \int_0^1 x^n\,d\mu(x) of some Borel measure supported on the clos ...
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Hausdorff paradox The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere (the surface of a 3-dimensional ball in ). It states that if a certain countable subset is removed from , then the remainder can be divided into ...
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