Countable successor ordinals as generalized ordered topological spaces

Robert Bonnet, Arkady Leiderman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)197-202
Number of pages6
JournalTopology and its Applications
StatePublished - 1 Jun 2018


  • Compact spaces
  • Continuous images
  • Generalized ordered topological spaces
  • Linearly ordered topological spaces

ASJC Scopus subject areas

  • Geometry and Topology


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