Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660768 | Topology and its Applications | 2006 | 6 Pages |
Abstract
A Tychonoff space A is metrizably fibered if and only if there exists a continuous map onto a metrizable space B such that for each b∈B,F−1(b) is metrizable. We resolve a question stated by V. Tkachuk by showing that every first countable Hausdorff continuous image of the lexicographic square is metrizably fibered. We also observe that an example of S. Mardešić and P. Papić resolves a related question stated by Tkachuk.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology