| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659139 | Topology and its Applications | 2011 | 8 Pages |
Abstract
Hurewicz characterized the dimension of separable metrizable spaces by means of finite-to-one maps. We investigate whether this characterization also holds in the class of compact F-spaces of weight c. Our main result is that, assuming the Continuum Hypothesis, an n-dimensional compact F-space of weight c is the continuous image of a zero-dimensional compact Hausdorff space by an at most n2-to-1 map.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
