Category:Order theory

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

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Order theory

Subcategories

This category has the following 8 subcategories, out of 8 total.

C Closure operators D Domain theory

F Fixed points L Lattice theory O Ordered groups

O cont. Ordinal numbers S Sorting algorithms W Wellfoundedness

Pages in category "Order theory"

The following 114 pages are in this category, out of 114 total. Updates to this list can occasionally be delayed for a few days.

List of order topics Glossary of order theory * Order theory A Alexandrov topology Antichain Aronszajn line Ascending chain condition Atom (order theory) B Boolean prime ideal theorem Bound graph Bounded complete poset Bounded set Bourbaki–Witt theorem C Cantor's first uncountability proof Causal sets Chain complete Cofinal (mathematics) Cofinality Compact element Comparability Comparability graph Complete Boolean algebra Complete Heyting algebra Complete partial order Completely distributive lattice Completeness (order theory) Containment order Continuum (mathematics) Countable chain condition Countryman line Covering relation Critical pair D Dedekind cut Dense order Dickson's lemma Dilworth's theorem Directed set Disjunction property of Wallman

D cont. Distributivity (order theory) Duality (order theory) E Embedding Extreme value F Filter (mathematics) Fréchet filter G Galois connection Martin Charles Golumbic Greatest element Greatest fixed point H Hasse diagram Hausdorff maximal principle Heyting algebra Higman's lemma I Ideal (order theory) Incidence algebra Infimum Infinite descending chain Infinite divisibility Interval (mathematics) Interval order J Join (mathematics) K Kleene fixpoint theorem Kleene–Brouwer order Knaster–Tarski theorem Kruskal's tree theorem L Least fixed point Lexicographical order Limit-preserving function (order theory) Linear extension Lubell-Yamamoto-Meshalkin inequality M Majorization Maximal element Meet (mathematics) Monomial order Monotonic function N Non-increasing sequence O Order dimension Order isomorphism

O cont. Order topology Order-embedding Ordered pair Ordered set Ordinal scale P Partially ordered set Pasch's theorem Poset topology Preorder Preordered class Prewellordering Prime (order theory) Product order Q Quantale R Ranked poset S Schnyder's theorem Scott continuity Scott domain Semilattice Shortlex order Specialization (pre)order Stone duality Strict weak ordering Strong antichain Supermodular Supremum Suslin's problem T Total order Trichotomy (mathematics) U Ultrafilter Upper and lower bounds Upper set Upper topology W Weak order of permutations Well-order Well-quasi-ordering Z Zorn's lemma

Categories: Combinatorics | Category theory | Ordering | Mathematical relations

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• This page was last modified 16:56, 12 May 2008 by Wikipedia user SilvonenBot. Based on work by Wikipedia user(s) BotMultichill, JRSpriggs, ToePeu.bot, Phe-bot, Mikkalai, Charles Matthews, Tompw, Mhss en, YurikBot, Mormegil, Marc Venot, Wasseralm, Reinyday, Who, Wikiborg, Maurreen, Elwikipedista and Markus Krötzsch and Anonymous user(s) of Wikipedia.
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