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
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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.