group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
By a generalized cohomology theory is usually meant a contravariant functor on a homotopy category satisfying all abstract properties of ordinary cohomology, except possibly for the dimension axiom. For more on this see at
generalized (Eilenberg-Steenrod) cohomology.
(and for the dual concept see at generalized homology).
But there are more general generalizations of the concept of ordinary cohomology, too. For instance there is also
etc.
For a fully general concept of generalized cohomology, see at
Last revised on February 6, 2020 at 01:09:21. See the history of this page for a list of all contributions to it.