metrizable space

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metrizable space

[mə′trīz·ə·bəl ′spās]
(mathematics)
A topological space on which can be defined a metric whose topological structure is equivalent to the original one.
References in periodicals archive ?
Pavel Uryson (February 3, 1898, Odessa--August 17, 1924, Batz-sur-Mer) was a Jewish mathematician who is best known for his contributions in the theory of dimension, and for developing Urysohn's Metrization Theorem and Urysohn's Lemma, both of which are fundamental results in topology.
A metrization theorem for Menger spaces was proved by Schweizer and Sklar [6, Theorem 2].
14) Fu-Gui Shi and Chong-You Zheng, Characterizations of pointwise uniformities and pointwise metrization theorems on lattices, Acta Math.