Usually means: Space where metric defines topology.
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We found 4 dictionaries that define the word metrizable:

General (3 matching dictionaries)
  1. metrizable: Wiktionary
  2. metrizable: Dictionary.com
  3. Metrizable: Wikipedia, the Free Encyclopedia

Science (1 matching dictionary)
  1. metrizable: PlanetMath Encyclopedia

Definitions from Wiktionary (metrizable)

adjective:  measurable, quantifiable
adjective:  (topology) Of a topological space: for which a metric exists that will induce the original topology.

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