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Totally Ordered Set

Totally Ordered Set

Dec 05, 20251 min read

  • math/set

Definition

(T,≤) A set equipped with a Total Order Relation

Chains

A totally ordered subset of Partially Ordered Set


Graph View

  • Definition
  • Chains

Backlinks

  • Extreme Value Theorem
  • Filtration
  • Hausdorff Maximal Principle
  • Least Upper Bound Property
  • Local Compactness
  • Order Axiom
  • Order Topology
  • Set Theory Note
  • Totally Ordered Set
  • Zorn's Lemma

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