Michael spaces and Dowker planks

• Caserta, Agata ^[2] ; Watson, Stephen ^[1]
  1. [1] York University (Canadá)

     York University (Canadá)

     Canadá

     
  2. [2] Seconda Università degli Studi di Napoli
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 10, Nº. 2, 2009, págs. 245-267
• Idioma: inglés
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• Resumen

  • We investigate the Lindelöf property of Dowker planks. In particular, we give necessary conditions such that the product of a Dowker plank with the irrationals is not Lindelöf. We also show that if there exists a Michael space, then, under some conditions involving singular cardinals, there is one that is a Dowker plank.