Compact group actions that raise dimension to infinity

Abstract

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.

Corrected from journal version