Symmetric Products and Q-manifolds
General Topology
2012-08-27 v1
Abstract
An example is given of a compact absolute retract that is not a Hilbert cube manifold but whose second symmetric porduct is the Hilbert cube. A factor theorem is given for nth symmetric product of the cartesian product of any absolute neighborhood retract with the Hilbert cube. A short proof is included of the known fact that symmetric products preserve the property of being a compact Hilbert cube manifold (the theorem is proved here for all Hilbert cube manifolds).
Cite
@article{arxiv.math/9906162,
title = {Symmetric Products and Q-manifolds},
author = {Alejandro Illanes and Sergio Macias and Sam B. Nadler,},
journal= {arXiv preprint arXiv:math/9906162},
year = {2012}
}
Comments
5 pages, no figures, Special session in Dynamics and Geometry