Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering.

Subcategories

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L

• Lattice theory

Articles in category "Order theory"

There are 80 articles in this category.

Alexandrov topology Antichain Archimedean group Ascending chain condition Atomic (order theory) B Boolean algebra Boolean prime ideal theorem Bounded complete Bourbaki-Witt theorem C Chain complete Closure operator Cofinality Compact element Complemented lattice Complete Heyting algebra Complete lattice Complete partial order Completeness (order theory) Countable chain condition D Dedekind cut Directed set Distributive lattice Distributivity (order theory) Domain theory Duality (order theory) E Embedding

E cont. Extreme value F Filter (mathematics) Frechet filter G Galois connection Glossary of order theory Greatest element H Hahn embedding theorem Hasse diagram Heyting algebra I Ideal (order theory) Incidence algebra Infimum Infinite descending chain Infinite divisibility Interior algebra Interval (mathematics) K Kleene fixpoint theorem Knaster-Tarski theorem L Lattice (order) Least fixed point Lexicographical order Limit-preserving function (order theory) Linearly ordered group List of order topics Lubell-Yamamoto-Meshalkin inequality M Maximal element Monomial order

M cont. Monotonic function O Order automorphism Order isomorphism Order theory Order topology Order-embedding P Partially ordered set Preorder Q Quantale S Scott domain Semilattice Specialization (pre)order Stone duality Submodular function Supremum T Total order Total preorder Trichotomy U Ultrafilter Ultrafilter lemma Upper bound Upper topology W Well partial order Well-founded relation Well-order Well-quasi-ordering Z Zorn's lemma