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Hausdorff spaceIn topology and related branches of mathematics, Hausdorff spaces and preregular spaces are kinds of topological spaces. The conditions imposed are the most significant separation axioms. Definitions Suppose that X is a topological space. X is a Hausdorff Hausdorff maximality theoremSet theory The Hausdorff maximality theorem formulated and proved by Felix Hausdorff in 1914, is an alternate formulation of Zorn's lemma and therefore also equivalent to the axiom of choice. It states that in any partially ordered set, every totally orde Hausa languageHausa is the Chadic language with the largest number of speakers, spoken as a first language by about 24 million people, and as a second language by about 15 million more. Native speakers of Hausa are mostly to be found in the African country of Niger and Hausdorff dimensionIn mathematics, Hausdorff dimension is a non-negative real number associated to any metric space. It is named after the mathematician Felix Hausdorff. Intuitively, the dimension of a set, for example a subset of Euclidean space is the number of independen Hauts-de-SeineHauts-de-Seine Details Information Number92 Region Ile-de-France Prefecture Nanterre Subprefecture Antony Boulogne-Billancourt Population Total 1999 Density Ranked 6th 1,428,881 8,119 /km² Area 176 km² Arrondissements 3 Cantons 45 Communes 36 President of Hautes-AlpesHautes-Alpes Details Information Number05 Region Provence-Alpes-Cote d'Azur Prefecture Gap Subprefecture Briancon Population Total ( 1999) Density Ranked 98th 121,419 22 /km² Area5,549 km² Arrondissements 2 Cantons 30 Communes 177 President of the general Haute-Marne Hautes-Pyrénées Haunted Haute-Corse Haute-Loire Haute-Garonne Haut-Rhin Haute-Saône Haute-Savoie