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In point-set topology, the properties of the set S are:

  • X and ∅ belongs to the set S.
  • The intersection of any subsets belongs to the set S.
  • The union of any subsets belongs to the set S.

For instance:

Let τ = {X,∅}. Then, it's the topology. We call that the trivial or discrete topology. If the set is indiscrete topology, then it contains infinitely many elements!

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12y ago

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