Select text and it is translated. to AFRIKAANS to ALBANIAN to AMHARIC to ARABIC to ARMENIAN to AZERBAIJANI to BASQUE to BELARUSIAN to BENGALI to BIHARI to BULGARIAN to BURMESE to CATALAN to CHEROKEE to CHINESE CHINESE_SIMPLIFIED CHINESE_TRADITIONAL to CROATIAN to CZECH to DANISH to DHIVEHI to DUTCH to ENGLISH to ESPERANTO to ESTONIAN to FILIPINO to FINNISH to FRENCH to GALICIAN to GEORGIAN to GERMAN to GREEK to GUARANI to GUJARATI to HEBREW to HINDI to HUNGARIAN to ICELANDIC to INDONESIAN to INUKTITUT to ITALIAN to JAPANESE to KANNADA to KAZAKH to KHMER to KOREAN to KURDISH to KYRGYZ to LAOTHIAN to LATVIAN to LITHUANIAN to MACEDONIAN to MALAY to MALAYALAM to MALTESE to MARATHI to MONGOLIAN to NEPALI to NORWEGIAN to ORIYA to PASHTO to PERSIAN to POLISH to PORTUGUESE to PUNJABI to ROMANIAN to RUSSIAN to SANSKRIT to SERBIAN to SINDHI to SINHALESE to SLOVAK to SLOVENIAN to SPANISH to SWAHILI to SWEDISH to TAJIK to TAMIL to TAGALOG to TELUGU to THAI to TIBETAN to TURKISH to UKRAINIAN to URDU to UZBEK to UIGHUR to VIETNAMESE

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Category:Order theory

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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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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