Scott-representability of some spaces of Tall and Miskin

• Bennet, Harold ^[1] ; Lutzer, David ^[2]
  1. [1] Texas Tech University

     Texas Tech University

     Estados Unidos

     
  2. [2] College of William & Mary

     College of William & Mary

     Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 2, 2008, págs. 281-292
• Idioma: inglés
• DOI: 10.4995/agt.2008.1807
• Enlaces
  • Texto completo
• Resumen

  • In this paper we show that a variation of a technique of Miskin and Tall yields a cocompact completely regular Moore space that is Scott-domain-representable and has a closed Gδ-subspace that is not Scott-domain-representable. This clarifies the general topology of Scott-domain-representable spaces and raises additional questions about Scott-domain representability in Moore spaces.

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