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KC

Last-modified: 2012-09-24 (月) 18:57:15

Definition Edit

  • A topological space (X, τ) is called a KC space if every compact set is closed.

Property Edit

  • KC ⇒ US.
  • Every locally compact KC space is a T_2 space.
  • If X is KC, then the one point compactification is US.

Reference Edit

  • Wilansky Albert, Between T_1 and T_2., Amer. Math. Monthly 74 (1967) 261-266.