Transgression map

In algebraic topology, a transgression map is a way to transfer cohomology classes.

It occurs, for example in the inflation-restriction exact sequence in group cohomology, and in integration in fibers.

It also naturally arises in many spectral sequences; see spectral sequence#Edge maps and transgressions.

The transgression map appears in the inflation-restriction exact sequence, an exact sequence occurring in group cohomology.

acts on Then the inflation-restriction exact sequence is: The transgression map is the map

Transgression is defined for general

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