Urysohn lemma

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Urysohn lemma [′u̇r·ē‚zōn ‚lem·ə]

(mathematics)

IfAandBare disjoint, closed sets in a normal spaceX, there is a real-valued function ƒ such that 0 ≤ ƒ(x) ≤ 1 for allx∈X, and ƒ (A) = 0 and ƒ (B) = 1.

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