The main result is as follows: Let X be a regular space, then the nonempty closed subsets hyperspace is locally compact iff X can be represented as the sum of a compact space and a discrete space.

 
  • 主要結果是:X正則,則其閉子集超空間局部緊當且僅當X可表示成一個(gè)緊空間與一個(gè)離散空間的拓撲和。
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