Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660802 | Topology and its Applications | 2006 | 14 Pages |
Abstract
We extend the definition of quasi-finite complexes from countable complexes to arbitrary ones and provide a characterization of quasi-finite complexes in terms of L-invertible maps and dimensional properties of compactifications. Several results related to the class of quasi-finite complexes are established, such as completion of metrizable spaces, existence of universal spaces and a version of the factorization theorem. Furthermore, we define UV(L)-spaces in the realm of metrizable spaces and show that some properties of UV(n)-spaces and UV(n)-maps remain valid for UV(L)-spaces and UV(L)-maps, respectively.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology