The diagonal of a first countable paratopological group, submetrizability, and related results

• Arhangelskii, A.V. ^[1] ; Bella, Angelo ^[2]
  1. [1] Ohio University

     Ohio University

     Township of Athens, Estados Unidos

     
  2. [2] University of Catania

     University of Catania

     Catania, Italia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 8, Nº. 2, 2007, págs. 207-212
• Idioma: inglés
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• Resumen

  • We discuss some properties stronger than Gδ-diagonal. Among other things, we prove that any first countable paratopological group has a Gδ-diagonal of infinite rank and hence also a regular Gδ-diagonal. This answer a question recently asked by Arhangel’skii and Burke.