Compact group actions that raise dimension to infinity

Details Compact group actions that raise dimension to infinity Compact group actions that raise dimension to infinity

2002-12-23

arxiv.org/abs/math/0212329v3

A.N. Dranishnikov and J.E. West, Compact group actions that raise dimension to infinity, Topology and its Applications 80 (199

Mathematics

Geometric Topology

Corrected from journal version

Scientific paper

THEOREM. For every prime $p$ and each $n=2, 3, ... \infty$, there is an action of $G=\prod_{i=1}^{\infty}(Z/ pZ)$ 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.

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