Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904029 | Topology and its Applications | 2018 | 6 Pages |
Abstract
We prove the following Main Theorem: Every continuous image of a Hausdorff topological space X is a generalized ordered space if and only if X is homeomorphic to a countable successor ordinal (with the order topology). This is a generalization of E. van Douwen's result about orderable spaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Robert Bonnet, Arkady Leiderman,