Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. measurable, quantifiable
  • adj. Of a set that is a topological space for which a metric exists that will induce a topology.

Etymologies

Sorry, no etymologies found.

Examples

  • But the Zariski topology is not metrizable … is a surjection of sheaves (exercise!), yet the map on global sections is not surjective.

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  • Because of the above argument, mathematicians who work on metrizable spaces don't worry very much about the distinction between vanishing on a closed set and in the neighborhood of a closed set.

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