Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison
Alex Chigogidze, V. V. Fedorchuk
Abstract
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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