Indiscrete topology

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Revision as of 14:55, 4 January 2013 by imported>Richard Pinch (expand into article)
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In topology, an indiscrete space is a topological space with the indiscrete topology, in which the only open subsets are the empty subset and the space itself.

Properties

  • An indiscrete space is metrizable if and only if it has at most one point
  • An indiscrete space is compact.
  • An indiscrete space is connected.
  • Every map from a topological space to an indiscrete space is continuous.

References