2002/12/31 by A. N. Dranishnikov, J. E. West
Mathematics · #math.GT #math.GN #msc:55M35 #msc:55M10
published as A.N. Dranishnikov and J.E. West, Compact group actions that raise dimension to infinity, Topology and its Applications 80 (1997), 101-114 · Corrected from journal version
arxiv created 2003/04/09 · arxiv updated 2009/11/30
THEOREM. For every prime p and each n=2, 3, ... ∞, there is an action of G=∏i=1∞(Z/ pZ) on a two-dimensional compact metric space X with n-dimensional orbit space. This theorem was proved in [DW: A.N. Dranishnikov and J.E. West, Compact group actions that raise dimension to infinity, Topology and its Applications 80 (1997), 101-114] with an error in one of the lemmas (Lemma 15). This paper presents a corrected version of Lemma 15 and it is identical with [DW] in the rest.