Usually means: Every subset is an open set.
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We found 5 dictionaries that define the word discrete topology:

General (2 matching dictionaries)
  1. discrete topology: Wiktionary
  2. Discrete topology: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. discrete topology: Encyclopedia

Science (2 matching dictionaries)
  1. Discrete Topology: Eric Weisstein's World of Mathematics
  2. discrete topology: PlanetMath Encyclopedia

Definitions from Wiktionary (discrete topology)

noun:  (topology) A topology on a set consisting of all subsets of that set.

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