Symmetric Products and Qmanifolds
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).
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 1999
 arXiv:
 arXiv:math/9906162
 Bibcode:
 1999math......6162I
 Keywords:

 General Topology;
 Primary 54B20
 EPrint:
 5 pages, no figures, Special session in Dynamics and Geometry