Filter (mathematics)
In mathematics, a filter is a special subset of a partially ordered set. Filters appear in order and lattice theory, but can also be found in topology, from where they originate. The dual notion of a filter is an order ideal. Filters were introduced by Henri Cartan in 1937 and subsequently used by Bourbaki in their book Topologie Générale as an alternative to the similar notion of a net developed in 1922 by E. H. Moore and H. L. Smith.
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Almost allAxiom of choiceBase (topology)Big O notationBoolean algebras canonically definedBoolean prime ideal theoremBulgarian cosmonaut programCardinal characteristic of the continuumCauchy-continuous functionCauchy filterCauchy sequenceCauchy spaceCharacterizations of the category of topological spacesClosure (topology)Club filterClub setCompactness theoremComplete metric spaceComplete partial orderComplete topological vector spaceCone-saturatedContinuous functionConvergence spaceDirected setDuality (mathematics)Duality (order theory)EquicontinuityField of setsFilterFilter (math)Filter (set theory)Filter ForgeFilter baseFilter quantifierFilter subbaseFilters in topologyFiltration (mathematics)Filtration (probability theory)Finite intersection propertyFourier transform
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Filter (mathematics)
In mathematics, a filter is a special subset of a partially ordered set. Filters appear in order and lattice theory, but can also be found in topology, from where they originate. The dual notion of a filter is an order ideal. Filters were introduced by Henri Cartan in 1937 and subsequently used by Bourbaki in their book Topologie Générale as an alternative to the similar notion of a net developed in 1922 by E. H. Moore and H. L. Smith.
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Em matemática, especialmente e ...... de chamam-se filtros próprios.
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En matemàtiques, un filtre és ...... per E. H. Moore i H. L. Smith.
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En matemáticas, específicament ...... d desarrollada en 1922 por y .
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En mathématiques, et plus part ...... du compactifié de Stone-Čech).
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Filtr – rodzina w jakimś sensi ...... ń punktu jest jego otoczeniem.
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Het wiskundige begrip filter w ...... gische ruimten te onderzoeken.
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In der Mathematik ist ein Filt ...... r Ordnung oder Ordnungsideale.
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In mathematics, a filter is a ...... y E. H. Moore and H. L. Smith.
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In teoria degli insiemi il con ...... zata per gli spazi topologici.
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Pojem filtr je v matematice, k ...... elké“ podle daného uspořádání.
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Em matemática, especialmente e ...... de chamam-se filtros próprios.
@pt
En matemàtiques, un filtre és ...... per E. H. Moore i H. L. Smith.
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En matemáticas, específicament ...... e dual de un filtro es la de .
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En mathématiques, et plus part ...... rtan et utilisée par Bourbaki.
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Filtr – rodzina w jakimś sensi ...... zy wyżej wspomniane własności:
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Het wiskundige begrip filter w ...... gische ruimten te onderzoeken.
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In der Mathematik ist ein Filt ...... r den Filter passieren könnte.
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In mathematics, a filter is a ...... y E. H. Moore and H. L. Smith.
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In teoria degli insiemi il con ...... zata per gli spazi topologici.
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Pojem filtr je v matematice, k ...... elké“ podle daného uspořádání.
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Filter (Mathematik)
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Filter (mathematics)
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Filter (wiskunde)
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Filtr (matematika)
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Filtr (matematyka)
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Filtre (matemàtiques)
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Filtre (mathématiques)
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Filtro (matematica)
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Filtro (matemáticas)
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Filtro (teoria dos conjuntos)
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