Cocycle class

From Free net encyclopedia

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 class <math>[\alpha] \in H^q(X) \, \!</math> known as the cocycle class of <math>\alpha. \, \!</math>Template:Algebra-stub Template:Topology-stub