continuous cohomology

The term “continuous cohomology” is often used as shorthand for the “naive” version of group cohomology of topological groups which uses cocycles of the form known for discrete groups and just requires them to be continuous functions. For “actual” group cohomology of topological groups one needs to in addition perform certain resolutions before considering continuous cocycles.

See at *Lie group cohomology – Topological group cohomology* for details and references.

- Edgar Brown, Robert Szczarba,
*Continuous cohomology and Real homotopy type II*Asterisque 191, Societe Mathematique De France (1990). (JSTOR)

Created on May 24, 2014 at 06:31:32. See the history of this page for a list of all contributions to it.