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metrizable∗ mathcam† 2013-03-21 13:15:39 A topological space (X, T ) is said to be metrizable if there is a metric d : X → [0, ∞) such that the topology induced by d is T . ∗ hMetrizablei created: h2013-03-21i by: hmathcami version: h31538i Privacy setting: h1i hDefinitioni h54-00i h55-00i h22-00i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1