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

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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.
10 pages

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Geometric Topology, Algebraic Topology, 57Q05; 55P65

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http://salesiana.dossiersoluciones.com/handle/123456789/78995

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908120
 http://arxiv.org/abs/math/9908120

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arXiv