Menger(Nöbeling) manifolds versus Hilbert cube (space) manifolds -- a categorical comparison (Q1573756)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Menger(Nöbeling) manifolds versus Hilbert cube (space) manifolds -- a categorical comparison |
scientific article |
Statements
Menger(Nöbeling) manifolds versus Hilbert cube (space) manifolds -- a categorical comparison (English)
0 references
8 August 2000
0 references
The authors show that the \(n\)-homotopy category of connected \((n+1)\)-dimensional Menger manifolds is isomorphic to the homotopy category of all connected Hilbert cube manifolds whose \(k\)-dimensional homotopy groups are trivial for each \(k\geq n+1\).
0 references
Menger manifold
0 references
Hilbert cube manifold
0 references
\(n\)-homotopy
0 references
Postnikov functor
0 references
