Net (mathematics)
In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence. In essence, a sequence is a function whose domain is the natural numbers. The codomain of this function is usually some topological space. 1.
* The map f is continuous in the topological sense; 2.
* Given any point x in X, and any sequence in X converging to x, the composition of f with this sequence converges to f(x) (continuous in the sequential sense).
known for
Absolute convergenceAdditive inverseApproximate identityBanach bundle (non-commutative geometry)Banach spaceBanach–Alaoglu theoremBig O notationBounded set (topological vector space)Caccioppoli setCauchy-continuous functionCauchy netCauchy sequenceCauchy spaceCharacterizations of the category of topological spacesClosed graphClosed graph theorem (functional analysis)Closed setClosure (topology)Cofinal (mathematics)CofinalityCompact spaceComplete metric spaceComplete topological vector spaceContinuous functionConvergent netDale GoldhawkDirected setDistribution (mathematics)Dual systemE. H. MooreExterior spaceFilter (mathematics)Filters in topologyFréchet–Urysohn spaceFølner sequenceGelfand representationGeneral topologyGlossary of Riemannian and metric geometryGlossary of topologyGrace Bates
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Net (mathematics)
In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence. In essence, a sequence is a function whose domain is the natural numbers. The codomain of this function is usually some topological space. 1.
* The map f is continuous in the topological sense; 2.
* Given any point x in X, and any sequence in X converging to x, the composition of f with this sequence converges to f(x) (continuous in the sequential sense).
has abstract
Ciąg uogólniony – rozszerzenie ...... zywany netem (z angielskiego).
@pl
Ein Netz oder eine Moore-Smith ...... nn-Integrierbarkeit verwenden.
@de
Em matemática, uma sequência g ...... vido em 1937 por Henri Cartan.
@pt
En matemáticas, una red es la ...... ncia en un espacio topológico.
@es
En mathématiques, la notion de ...... nt celui des entiers naturels.
@fr
In de topologie, een tak van d ...... oniem Moore-Smithrij voor net.
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In mathematics, more specifica ...... loped in 1937 by Henri Cartan.
@en
In topologia e in aree ad essa ...... no essenzialmente equivalenti.
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Inom topologi, ett delområde a ...... ig lokal bas för sin topologi.
@sv
Направленность (направление, с ...... ение является направленностью.
@ru
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1,023,135,079
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Ciąg uogólniony – rozszerzenie ...... zywany netem (z angielskiego).
@pl
Ein Netz oder eine Moore-Smith ...... nn-Integrierbarkeit verwenden.
@de
Em matemática, uma sequência g ...... vido em 1937 por Henri Cartan.
@pt
En matemáticas, una red es la ...... ncia en un espacio topológico.
@es
En mathématiques, la notion de ...... nt celui des entiers naturels.
@fr
In de topologie, een tak van d ...... oniem Moore-Smithrij voor net.
@nl
In mathematics, more specifica ...... uous in the sequential sense).
@en
In topologia e in aree ad essa ...... ad esempio, gli spazi metrici.
@it
Inom topologi, ett delområde a ...... ig lokal bas för sin topologi.
@sv
Направленность (направление, с ...... множество натуральных чисел .
@ru
label
Ciąg uogólniony
@pl
Net (mathematics)
@en
Net (wiskunde)
@nl
Netz (Topologie)
@de
Nät (matematik)
@sv
Red (matemática)
@es
Rete (matematica)
@it
Sequência generalizada
@pt
Suite généralisée
@fr
Направленность (математика)
@ru