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Nov 26, 2012 at 7:05 comment added Joseph Victor Thanks Ralph. In the case of group cohomology, in playing around I was able to make $\mathcal{X}$ much smaller than the bar resolution, which obviously is not minimal. However, I was hoping to make \mathcal{X} smaller than the resolution being used even if that resolution was itself minimal (in the sense of the algorithm from the last paragraph). Is this something that can be done?
Nov 25, 2012 at 23:45 history answered Ralph CC BY-SA 3.0