Symmetric Products and Q-manifolds
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:
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arXiv Mathematics e-prints
- Pub Date:
- June 1999
- DOI:
- 10.48550/arXiv.math/9906162
- arXiv:
- arXiv:math/9906162
- Bibcode:
- 1999math......6162I
- Keywords:
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- General Topology;
- Primary 54B20
- E-Print:
- 5 pages, no figures, Special session in Dynamics and Geometry