Mayer–Vietoris sequence
In mathematics, particularly algebraic topology and homology theory, the Mayer–Vietoris sequence is an algebraic tool to help compute algebraic invariants of topological spaces, known as their homology and cohomology groups. The result is due to two Austrian mathematicians, Walther Mayer and Leopold Vietoris. The method consists of splitting a space into subspaces, for which the homology or cohomology groups may be easier to compute. The sequence relates the (co)homology groups of the space to the (co)homology groups of the subspaces. It is a natural long exact sequence, whose entries are the (co)homology groups of the whole space, the direct sum of the (co)homology groups of the subspaces, and the (co)homology groups of the intersection of the subspaces.
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Assembly mapBrown's representability theoremCohomologyCohomology with compact supportDe Rham cohomologyEilenberg–Steenrod axiomsExact sequenceExcision theoremHomological algebraJordan curve theoremLeopold VietorisList of algebraic topology topicsList of eponyms (L–Z)Local cohomologyMayerMayer-VietorisMayer-Vietoris sequenceMayer-Vietoris theoremMayer-vietoris sequenceMayer–Vietoris theoremMotive (algebraic geometry)Relative homologySheaf cohomologyWalther MayerZig-zag lemmaČech-to-derived functor spectral sequence
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Mayer–Vietoris sequence
In mathematics, particularly algebraic topology and homology theory, the Mayer–Vietoris sequence is an algebraic tool to help compute algebraic invariants of topological spaces, known as their homology and cohomology groups. The result is due to two Austrian mathematicians, Walther Mayer and Leopold Vietoris. The method consists of splitting a space into subspaces, for which the homology or cohomology groups may be easier to compute. The sequence relates the (co)homology groups of the space to the (co)homology groups of the subspaces. It is a natural long exact sequence, whose entries are the (co)homology groups of the whole space, the direct sum of the (co)homology groups of the subspaces, and the (co)homology groups of the intersection of the subspaces.
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En topologie algébrique et dan ...... couvrent par une suite exacte.
@fr
In matematica, più precisament ...... egli anni Venti del Novecento.
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In mathematics, particularly a ...... for homology of dimension one.
@en
Inom matematiken, speciellt in ...... för homologin i dimension ett.
@sv
La sucesión de Mayer-Vietoris ...... s puede ser muy simplificador.
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W topologii algebraicznej ciąg ...... przy użyciu ciągów dokładnych.
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Последовательность Майера — Вь ...... Майера и Леопольда Вьеториса.
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Послідовність Маєра — Вієторіс ...... ена для фундаментальної групи.
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数学の特に代数的位相幾何学およびホモロジー論におけるマイヤー ...... 類似であり、実際一次元ホモロジーに対しては明確な関係がある。
@ja
대수적 위상수학에서, 마이어-피토리스 열(Mayer-V ...... 대수적 위상수학에서 가장 핵심적인 도구 가운데 하나다.
@ko
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En topologie algébrique et dan ...... couvrent par une suite exacte.
@fr
In matematica, più precisament ...... egli anni Venti del Novecento.
@it
In mathematics, particularly a ...... intersection of the subspaces.
@en
Inom matematiken, speciellt in ...... pperna av delgruppernas snitt.
@sv
La sucesión de Mayer-Vietoris ...... s puede ser muy simplificador.
@es
W topologii algebraicznej ciąg ...... przy użyciu ciągów dokładnych.
@pl
Последовательность Майера — Вь ...... Майера и Леопольда Вьеториса.
@ru
Послідовність Маєра — Вієторіс ...... падок відносних (ко)гомологій.
@uk
数学の特に代数的位相幾何学およびホモロジー論におけるマイヤー ...... わりの(コ)ホモロジー群の三者から構成される長完全列である。
@ja
대수적 위상수학에서, 마이어-피토리스 열(Mayer-V ...... 대수적 위상수학에서 가장 핵심적인 도구 가운데 하나다.
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Ciąg Mayersa-Vietorisa
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Mayer–Vietoris följd
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Mayer–Vietoris sequence
@en
Successione di Mayer-Vietoris
@it
Sucesión de Mayer-Vietoris
@es
Suite de Mayer-Vietoris
@fr
Последовательность Майера — Вьеториса
@ru
Послідовність Маєра — Вієторіса
@uk
マイヤー・ヴィートリス完全系列
@ja
마이어-피토리스 열
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