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  1. World Encyclopedia
  2. Template:Order theory
Template:Order theory
From Wikipedia, the free encyclopedia
  • v
  • t
  • e
Order theory
  • Topics
  • Glossary
  • Category
Key concepts
  • Binary relation
  • Boolean algebra
  • Cyclic order
  • Lattice
  • Partial order
  • Preorder
  • Total order
  • Weak ordering
Results
  • Boolean prime ideal theorem
  • Cantor–Bernstein theorem
  • Cantor's isomorphism theorem
  • Dilworth's theorem
  • Dushnik–Miller theorem
  • Hausdorff maximal principle
  • Knaster–Tarski theorem
  • Kruskal's tree theorem
  • Laver's theorem
  • Mirsky's theorem
  • Szpilrajn extension theorem
  • Zorn's lemma
Properties & Types (list)
  • Antisymmetric
  • Asymmetric
  • Boolean algebra
    • topics
  • Completeness
  • Connected
  • Covering
  • Dense
  • Directed
  • (Partial) Equivalence
  • Foundational
  • Heyting algebra
  • Homogeneous
  • Idempotent
  • Lattice
    • Bounded
    • Complemented
    • Complete
    • Distributive
    • Join and meet
  • Reflexive
  • Partial order
    • Chain-complete
    • Graded
    • Eulerian
    • Strict
  • Prefix order
  • Preorder
    • Total
  • Semilattice
  • Semiorder
  • Symmetric
  • Total
  • Tolerance
  • Transitive
  • Well-founded
  • Well-quasi-ordering (Better)
  • (Pre) Well-order
Constructions
  • Composition
  • Converse/Transpose
  • Lexicographic order
  • Linear extension
  • Product order
  • Reflexive closure
  • Series-parallel partial order
  • Star product
  • Symmetric closure
  • Transitive closure
Topology & Orders
  • Alexandrov topology & Specialization preorder
  • Ordered topological vector space
    • Normal cone
    • Order topology
  • Order topology
  • Topological vector lattice
    • Banach
    • Fréchet
    • Locally convex
    • Normed
Related
  • Antichain
  • Cofinal
  • Cofinality
  • Comparability
    • Graph
  • Duality
  • Filter
  • Hasse diagram
  • Ideal
  • Net
    • Subnet
  • Order morphism
    • Embedding
    • Isomorphism
  • Order type
  • Ordered field
    • Positive cone of an ordered field
  • Ordered vector space
    • Partially ordered
    • Positive cone of an ordered vector space
    • Riesz space
  • Partially ordered group
    • Positive cone of a partially ordered group
  • Upper set
  • Young's lattice
Template documentation[create] [purge]
Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages.
Add categories to the /doc subpage. Subpages of this template.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Template:Order_theory&oldid=1221153563"
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