Symmetric Products and Q-manifolds

Details Symmetric Products and Q-manifolds Symmetric Products and Q-manifolds

1999-06-24

arxiv.org/abs/math/9906162v1

Mathematics

General Topology

5 pages, no figures, Special session in Dynamics and Geometry

Scientific paper

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).

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