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Definition 3

[0VW]A set that is contained in the union of countably many closed sets with empty interior is called first category set in \(X\). 1 A set that is not first category, is said second category.

  1. It is sometimes also called meagre set (for example in Wikipedia [ 53 ] ).
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  • first category set
  • second category set
  • set, first category ---
  • set, second category ---
  • category , see also set, first/second β€”
  • metric space
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