Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective   
measurable ,quantifiable  - adjective topology  Of a 
set that is atopological space for which ametric exists that will induce atopology . 
Etymologies
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Examples
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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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