Dense Sδ-diagonals and linearly ordered extensions

• Hosobuchi, Masami ^[1]
  1. [1] Tokyo Kasei Gakuin University

     Tokyo Kasei Gakuin University

     Japón

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 4, Nº. 1, 2003, págs. 71-77
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The notion of the Sδ-diagonal was introduced by H. R. Bennett to study the quasi-developability of linearly ordered spaces. In an earlier paper, we obtained a characterization of topological spaces with an Sδ-diagonal and we showed that the Sδ-diagonal property is stronger than the quasi-Gδ-diagonal -diagonal property. In this paper, we define a dense Sδ-diagonal of a space and show that two linearly ordered extensions of a generalized ordered space X have dense Sδ-diagonals if the sets of right and left looking points are countable.