Cocycle class
Encyclopedia
In mathematics
, more specifically in cohomology theory, a
-cocycle 
in the cochain group 
is associated with a unique equivalence class
known as the cocycle class or coclass of 
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, more specifically in cohomology theory, a
-cocycle in the cochain group is associated with a unique equivalence classEquivalence relation
In mathematics, an equivalence relation is a relation that, loosely speaking, partitions a set so that every element of the set is a member of one and only one cell of the partition. Two elements of the set are considered equivalent if and only if they are elements of the same cell...
known as the cocycle class or coclass of