Künneth theorem
In mathematics, especially in homological algebra and algebraic topology, a Künneth theorem, also called a Künneth formula, is a statement relating the homology of two objects to the homology of their product. The classical statement of the Künneth theorem relates the singular homology of two topological spaces X and Y and their product space . In the simplest possible case the relationship is that of a tensor product, but for applications it is very often necessary to apply certain tools of homological algebra to express the answer.
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Algebraic topologyBetti numberCap productCoalgebraCoherent sheaf cohomologyCohomologyCohomology ringCross product (disambiguation)Cup productEilenberg–Moore spectral sequenceEilenberg–Zilber theoremGromov–Witten invariantGroup cohomologyHermann KünnethHodge structureHomology (mathematics)Kuenneth decompositionKuenneth formulaKuenneth theoremKunneth decompositionKunneth formulaKunneth theoremKünneth decompositionKünneth formulaKünneth formula in K-theoryKünneth spectral sequenceLeray spectral sequenceLeray–Hirsch theoremList of algebraic topology topicsList of theoremsMorava K-theoryMultilinear algebraPoincaré dualitySpectral sequenceTensorTimeline of category theory and related mathematicsTimeline of manifoldsTor functorWeil cohomology theoryWeil conjectures
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Künneth theorem
In mathematics, especially in homological algebra and algebraic topology, a Künneth theorem, also called a Künneth formula, is a statement relating the homology of two objects to the homology of their product. The classical statement of the Künneth theorem relates the singular homology of two topological spaces X and Y and their product space . In the simplest possible case the relationship is that of a tensor product, but for applications it is very often necessary to apply certain tools of homological algebra to express the answer.
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Der nach Hermann Künneth benan ...... rsellen Koeffiziententheorems.
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En mathématiques, le théorème ...... courtes naturelles scindées :
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In de algebraïsche topologie e ...... ndige Hermann Künneth genoemd.
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In mathematics, especially in ...... mathematician Hermann Künneth.
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Inom matematiken, speciellt i ...... efter den tyska matematikern .
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Künneth formula
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Der nach Hermann Künneth benan ...... rsellen Koeffiziententheorems.
@de
En mathématiques, le théorème ...... courtes naturelles scindées :
@fr
In de algebraïsche topologie e ...... m het antwoord uit te drukken.
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In mathematics, especially in ...... algebra to express the answer.
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Inom matematiken, speciellt i ...... gebra för att uttrycka svaret.
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Künneth theorem
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Künnethsats
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Satz von Künneth
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Stelling van Künneth
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Théorème de Künneth
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퀴네트 정리
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