Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison

Details Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison

1999-08-23

arxiv.org/abs/math/9908120v1

Mathematics

Geometric Topology

10 pages

Scientific paper

We show that the n-homotopy category of connected (n+1)-dimensional Menger
manifolds is isomorphic to the homotopy category of connected Hilbert cube
manifolds whose k-dimensional homotopy groups are trivial for each k > n.

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