English

Compact group actions that raise dimension to infinity

Geometric Topology 2007-05-23 v3 General Topology

Abstract

THEOREM. For every prime pp and each n=2,3,...n=2, 3, ... \infty, there is an action of G=i=1(Z/pZ)G=\prod_{i=1}^{\infty}(Z/ pZ) on a two-dimensional compact metric space XX with nn-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.

Keywords

Cite

@article{arxiv.math/0212329,
  title  = {Compact group actions that raise dimension to infinity},
  author = {A. N. Dranishnikov and J. E. West},
  journal= {arXiv preprint arXiv:math/0212329},
  year   = {2007}
}

Comments

Corrected from journal version