List of Order Theory Topics - Subsets of Partial Orders

Subsets of Partial Orders

  • Cofinal and coinitial set, sometimes also called dense
  • Meet-dense set and join-dense set
  • Linked set (upwards and downwards)
  • Directed set (upwards and downwards)
  • centered and σ-centered set
  • Net (mathematics)
  • Upper set and lower set
  • Ideal and filter
    • Ultrafilter

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