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

dc.creatorChigogidze, Alex
dc.creatorFedorchuk, V. V.
dc.date1999-08-23
dc.date.accessioned2026-07-07T05:30:27Z
dc.date.available2026-07-07T05:30:27Z
dc.descriptionWe 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/9908120
dc.identifierhttp://arxiv.org/abs/math/9908120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78995
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57Q05; 55P65
dc.titleMenger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison
dc.typetext

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