Metrizable fiberings of continuous images of the lexicographic square |
| |
Authors: | D Daniel CT Kennaugh |
| |
Institution: | a Department of Mathematics, Lamar University, Beaumont, TX 77710, USA b Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA |
| |
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. Mardeši? and P. Papi? resolves a related question stated by Tkachuk. |
| |
Keywords: | primary 54F15 secondary 54C05 54F05 54F50 |
本文献已被 ScienceDirect 等数据库收录! |
|