Article ID Journal Published Year Pages File Type
4660768 Topology and its Applications 2006 6 Pages PDF
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