Order (mathematics)

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

Order in mathematics may refer to:

Set theory[edit]

Total order and partial order, a binary relation generalizing the usual ordering of numbers and of words in a dictionary









In logic, model theory and type theory:

Order theory[edit]

  • Order (journal), an academic journal on order theory
  • Dense order, a total order wherein between any unequal pair of elements there is always an intervening element in the order
  • Glossary of order theory
  • Lexicographical order, an ordering method on sequences analogous to alphabetical order on words
  • List of order topics, list of order theory topics
  • Order theory, study of various binary relations known as orders
  • Order topology, a topology of total order for totally ordered sets
  • Ordinal numbers, numbers assigned to sets based on their set-theoretic order
  • Partial order, often called just "order" in order theory texts, a transitive antisymmetric relation
  • Total order, a partial order that is also total, in that either the relation or its inverse holds between any unequal elements

Set theory[edit]

In set theory: