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arXiv math/9908120math.GTmath.AT
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Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison

Alex Chigogidze, V. V. Fedorchuk

英文摘要:

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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