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Let G be a discrete group for which the classifying space for properG-actions is finite-dimensional. We find a space W such that for any such G,the classifying space PBG for proper G-bundles has the homotopy type of theW-nullification of BG. We use this to deduce some results concerning PBG and insome cases where there is a good model for PBG we obtain information about theBZ/p-nullification of BG.

Nullification functors and the homotopy type of the classifying space for proper bundles