List of order theory topics

https://en.wikipedia.org/wiki/List_of_order_theory_topics

https://en.wikipedia.org/wiki/Glossary_of_order_theory

Order theory is a branch of mathematics that studies various kinds of objects (often binary relations) that capture the intuitive notion of ordering, providing a framework for saying when one thing is "less than" or "precedes" another.

Overview

• Partially ordered set

• Preorder

• Totally ordered set

  • Total preorder

  • Chain

  • Trichotomy

  • Extended real number line

• Antichain

• Strict order

• Hasse diagram

  • Directed acyclic graph

• Duality (order theory)

• Product order

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