Not every transitively D-space is D

Research output: Contribution to journalArticle

Abstract

In 2008, Liang-Xue Peng defined a weakening of the D-space property known as the transitively D property. He asked whether or not every transitively D-space is D. We show that three different examples of linearly Lindelöf, non-Lindelöf spaces are transitively D but not D, answering Peng's question in the negative.

Original languageEnglish (US)
Pages (from-to)115-119
Number of pages5
JournalTopology and its Applications
Volume209
DOIs
StatePublished - Aug 15 2016

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • D-spaces
  • Linearly Lindelöf spaces
  • Transitively D-spaces

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