Cohomology
In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated with a topological space, often defined from a cochain complex. Cohomology can be viewed as a method of assigning richer algebraic invariants to a space than homology. Some versions of cohomology arise by dualizing the construction of homology. In other words, cochains are functions on the group of chains in homology theory.
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Betti cohomologyCochain (algebraic topology)CohomologicalCohomologiesCohomology classCohomology classesCohomology groupCohomology groupsCohomology theoriesCohomology theoryDifferential cohomologyExtraordinary cohomology theoriesExtraordinary cohomology theoryExtraordinary homology theoryGeneralized cohomologyGeneralized cohomology theoriesGeneralized cohomology theoryGeneralized homology theoryHigher cohomologyIntegral cohomology groupMultiplicative cohomology theorySingular cohomology
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AWM–Microsoft Research Prize in Algebra and Number TheoryAbelian categoryAbstract nonsenseAdams spectral sequenceAffine spaceAhmed AbbesAlbert NijenhuisAldo AndreottiAlexander GrothendieckAlexander–Spanier cohomologyAlgebraic K-theoryAlgebraic cobordismAlgebraic topologyAlternating multilinear mapAndreotti–Grauert theoremAndreotti–Vesentini theoremAndré–Quillen cohomologyAnne CobbeAreas of mathematicsArrangement of hyperplanesArtin–Verdier dualityAsteriskAtiyah–Hirzebruch spectral sequenceAtiyah–Singer index theoremBRST quantizationBanach algebra cohomologyBasic Number TheoryBatalin–Vilkovisky formalismBernard DworkBetti cohomologyBhargav Bhatt (mathematician)Bivariant theoryBloch groupBlowing upBockstein homomorphismBorel–Moore homologyBorsuk–Ulam theoremBott periodicity theoremBrauer groupBrown's representability theorem
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Cohomology
In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated with a topological space, often defined from a cochain complex. Cohomology can be viewed as a method of assigning richer algebraic invariants to a space than homology. Some versions of cohomology arise by dualizing the construction of homology. In other words, cochains are functions on the group of chains in homology theory.
has abstract
Cohomologiegroepen of cohomolo ...... motivering van het onderwerp.
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Coomologia em matemática, espe ...... não é muito mais do que uma .
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En matemàtiques, específicamen ...... a complexa no és més que una .
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En matemáticas, específicament ...... que una convención de signos.
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In matematica, in particolare ...... iante più forte dell'omologia.
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In mathematics, specifically i ...... onger invariant than homology.
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Inom matematiken, speciellt in ...... ska dualiseringen av homologi.
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Kohomologie ist ein mathematis ...... James W. Alexander entwickelt.
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Когомологія — загальний термін ...... ься з коланцюгового комплексу.
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在數學中，特別是同調論與代數拓樸，餘調是一個專有名詞，表示由 ...... 拓扑空间的不变式）包括：代数K理论，李代数同调，晶体同调等。
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p/c023060
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title
Cohomology
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subject
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comment
Cohomologiegroepen of cohomolo ...... motivering van het onderwerp.
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Coomologia em matemática, espe ...... cadeias da teoria homológica.
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En matemàtiques, específicamen ...... enes de la teoria d'homologia.
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En matemáticas, específicament ...... nas de la teoría de homología.
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In matematica, in particolare ...... catene della teoria omologica.
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In mathematics, specifically i ...... of chains in homology theory.
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Inom matematiken, speciellt in ...... ska dualiseringen av homologi.
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Kohomologie ist ein mathematis ...... n benutzt sogenannte Spektren.
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Когомологія — загальний термін ...... ься з коланцюгового комплексу.
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在數學中，特別是同調論與代數拓樸，餘調是一個專有名詞，表示由 ...... 拓扑空间的不变式）包括：代数K理论，李代数同调，晶体同调等。
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label
Cohomologia
@ca
Cohomologie
@nl
Cohomology
@en
Cohomología
@es
Coomologia
@it
Coomologia
@pt
Kohomologi
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Kohomologie
@de
Когомологія
@uk
コホモロジー
@ja