- Hausdorff space
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A topological space in which for any two distinct points x and y, there is a pair of disjoint open sets U and V such that and .Syn: T2 space (T<small>2</small> space)
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Hausdorff space
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Hausdorff space — In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space … Wikipedia
Hausdorff space — /hows dawrf, howz /, Math. a topological space in which each pair of points can be separated by two disjoint open sets containing the points. [named after Felix Hausdorff (1868 1942), German mathematician, who first described it] * * * ▪… … Universalium
Hausdorff space — /hows dawrf, howz /, Math. a topological space in which each pair of points can be separated by two disjoint open sets containing the points. [named after Felix Hausdorff (1868 1942), German mathematician, who first described it] … Useful english dictionary
Completely Hausdorff space — Separation Axioms in Topological Spaces Kolmogorov (T0) version T0 | T1 | T2 | T2½ | completely T2 T3 | T3½ | T4 | T5 | T6 In topology, an Urysohn space, or T2½ spac … Wikipedia
Locally Hausdorff space — In mathematics, 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 … Wikipedia
Weak Hausdorff space — In mathematics, a weak Hausdorff space is a topological space where the image of every continuous map from a compact Hausdorff space into the space is closed. [cite web |url=http://neil strickland.staff.shef.ac.uk/courses/homotopy/cgwh.pdf |title … Wikipedia
Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… … Wikipedia
Hausdorff — may refer to:* A Hausdorff space, when used as an adjective, as in the real line is Hausdorff. * Felix Hausdorff, the German mathematician that Hausdorff spaces are named after. * Hausdorff dimension, a measure theoretic concept of dimension. *… … Wikipedia
Collectionwise Hausdorff space — In 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 topological space, there are pairwise disjoint open sets containing the points. Every T1 … Wikipedia
Hausdorff-Trennungsaxiom — Hausdorff Raum (T2) berührt die Spezialgebiete Mathematik Topologie ist Spezialfall von topologischer Raum präregulärer Raum ( … Deutsch Wikipedia
