Directed set
In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set together with a reflexive and transitive binary relation (that is, a preorder), with the additional property that every pair of elements has an upper bound. In other words, for any and in there must exist in with and A directed set's preorder is called a direction.
Wikipage disambiguates
Wikipage redirect
Absolute convergenceAccessible categoryApproximately finite-dimensional C*-algebraBanach–Alaoglu theoremBoolean prime ideal theoremCauchy-continuous functionCauchy spaceCentered setClosure operatorCofinal (mathematics)CofinalityCoherent spaceCoherent topologyCompact elementComplete Heyting algebraComplete partial orderCompleteness (order theory)Continuous functionContinuous geometryDenotational semanticsDiagram (category theory)DirectDirect limitDirected preorderDirectionDistribution (mathematics)Domain theoryDual systemEmbeddingFilter (mathematics)Filtered categoryFiltered setFilters in topologyFinitely generated moduleGeneral topologyGeneric filterGlossary of order theoryGlossary of topologyGreatest element and least elementHeterarchy
Link from a Wikipage to another Wikipage
primaryTopic
Directed set
In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set together with a reflexive and transitive binary relation (that is, a preorder), with the additional property that every pair of elements has an upper bound. In other words, for any and in there must exist in with and A directed set's preorder is called a direction.
has abstract
Em matemática, um conjunto dir ...... c em A tal que a ≤ c e b ≤ c.
@pt
En mathématiques, un ensemble ...... n élément plus grand que tous.
@fr
In matematica, un insieme dire ...... a ≤ b ≤ c ≤ d ≤ ... di punti.
@it
In mathematics, a directed set ...... re generally) category theory.
@en
Předpokládejme, že množina A j ...... huje i nějakou její majorantu.
@cs
Zbiór skierowany – w teorii mn ...... nstrukcji ciągów uogólnionych.
@pl
Направлена (укр. спрямована) м ...... еж може не існувати найменшої.
@uk
Направленное множество — непус ...... мого в математическом анализе.
@ru
在数学中,有向集合(也叫有向预序或过滤集合),是一个具有预序 ...... 集合亦在抽象代數及(更一般的)範疇論中被用來產生這類的概念。
@zh
数学における有向集合(ゆうこうしゅうごう、directed ...... 代数学あるいはもっと一般の圏論における直極限の概念が生じる。
@ja
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,023,057,200
Link from a Wikipage to another Wikipage
date
December 2020
@en
reason
Again? Convergent sequences are never mentioned in this article.
@en
wikiPageUsesTemplate
hypernym
comment
Em matemática, um conjunto dir ...... c em A tal que a ≤ c e b ≤ c.
@pt
En mathématiques, un ensemble ...... osition à totalement ordonné).
@fr
In matematica, un insieme dire ...... a ≤ b ≤ c ≤ d ≤ ... di punti.
@it
In mathematics, a directed set ...... reorder is called a direction.
@en
Předpokládejme, že množina A j ...... huje i nějakou její majorantu.
@cs
Zbiór skierowany – w teorii mn ...... nstrukcji ciągów uogólnionych.
@pl
Направлена (укр. спрямована) м ...... еж може не існувати найменшої.
@uk
Направленное множество — непус ...... в из A есть верхняя грань в A.
@ru
在数学中,有向集合(也叫有向预序或过滤集合),是一个具有预序 ...... 集合亦在抽象代數及(更一般的)範疇論中被用來產生這類的概念。
@zh
数学における有向集合(ゆうこうしゅうごう、directed ...... 代数学あるいはもっと一般の圏論における直極限の概念が生じる。
@ja
label
Conjunto direcionado
@pt
Directed set
@en
Dolů usměrněná množina
@cs
Ensemble ordonné filtrant
@fr
Gerichtete Menge
@de
Insieme diretto
@it
Zbiór skierowany
@pl
Направлена множина
@uk
Направленное множество
@ru
有向集合
@ja