Complete topological space
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In mathematics, if a topological space is said to be complete, it may mean:
- that has been equipped with an additional Cauchy space structure which is complete,
- or that has some topological property related to the above:
- that it is completely metrizable (often called (metrically) topologically complete),
- or that it is Čech-complete (a property coinciding with completely metrizability on the class of metrizable spaces, but including some non-metrizable spaces as well),
- or that it is completely uniformizable (also called topologically complete or Dieudonné-complete by some authors).
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