| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660769 | Topology and its Applications | 2006 | 5 Pages |
Abstract
In this note we introduce the concept of a quasi-finite complex. Next, we show that for a given countable simplicial complex L the following conditions are equivalent:•L is quasi-finite.•There exists a [L]-invertible mapping of a metrizable compactum X with e-dimX⩽[L] onto the Hilbert cube.Finally, we construct an example of a quasi-finite complex L such that its extension type [L] does not contain a finitely dominated complex.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
