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