Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison
Geometric Topology
2007-05-23 v1 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.math/9908120,
title = {Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison},
author = {Alex Chigogidze and V. V. Fedorchuk},
journal= {arXiv preprint arXiv:math/9908120},
year = {2007}
}
Comments
10 pages