Eilenberg - Mac Lane spaces represent the various classical cohomology theories, but for the classical form of twisted cohomology the coefficients are in a local system, so one needs to ‘twist’ the representing object over a base corresponding to the classifying space of some groupoid.
This has sometimes been called a generalized Eilenberg-MacLane space, but is perhaps better termed a twisted Eilenberg-MacLane space to avoid possible confusion.
The construction of these is to be found in the entry on twisted cohomology.
Created on November 17, 2013 at 20:53:31. See the history of this page for a list of all contributions to it.