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In [[mathematics]], more specifically in [[cohomology theory]], a <math>q \, \!</math>-cocycle <math>\alpha \, \!</math> in the cochain group <math>S^q(X) \, \!</math> is associated with a unique [[equivalence relation|equivalence class]] <math>[\alpha] \in H^q(X) \, \!</math> known as the '''cocycle class''' or '''coclass''' of <math>\alpha. \, \!</math>
 
[[Category:Homology theory]]
[[Category:Algebraic topology]]
 
 
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Latest revision as of 17:47, 11 October 2013

In mathematics, more specifically in cohomology theory, a q-cocycle α in the cochain group Sq(X) is associated with a unique equivalence class [α]Hq(X) known as the cocycle class or coclass of α.


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