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Scattered space information


In mathematics, a scattered space is a topological space X that contains no nonempty dense-in-itself subset.[1][2] Equivalently, every nonempty subset A of X contains a point isolated in A.

A subset of a topological space is called a scattered set if it is a scattered space with the subspace topology.

  1. ^ Steen & Seebach, p. 33
  2. ^ Engelking, p. 59

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Scattered space

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