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Reference.org
Urysohn and completely Hausdorff spaces
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<p>In <a href="/facts/Topology/2EqW47cU">topology</a>, a discipline within mathematics, an Urysohn space, or T2½ space, is a <a href="/facts/Topological_space/v2ut7CbK">topological space</a> in which any two distinct points can be <a href="/facts/Separated_by_closed_neighborhoods/NxVgxIF9">separated by closed neighborhoods</a>. A completely Hausdorff space, or functionally Hausdorff space, is a topological space in which any two distinct points can be separated by a <a href="/facts/Continuous_function/sKbl02pB">continuous function</a>. These conditions are <a href="/facts/Separation_axiom/s4CKf8gp">separation axioms</a> that are somewhat stronger than the more familiar <a href="/facts/Hausdorff_space/gbKIrusl">Hausdorff axiom</a> T2. </p>