Base (topology) - Objects Defined in Terms of Bases

Objects Defined in Terms of Bases

  • The order topology is usually defined as the topology generated by a collection of open-interval-like sets.
  • The metric topology is usually defined as the topology generated by a collection of open balls.
  • A second-countable space is one that has a countable base.
  • The discrete topology has the singletons as a base.

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