Scott-representability of some spaces of Tall and Miskin


  • Harold Bennet Texas Tech University
  • David Lutzer College of William & Mary



Domain, Scott-domain, Scott-domain-representable space, Moore space, Complete Moore space, Cocompact, Cech-complete, Subcompact, Choquet complete


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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How to Cite

H. Bennet and D. Lutzer, “Scott-representability of some spaces of Tall and Miskin”, Appl. Gen. Topol., vol. 9, no. 2, pp. 281–292, Oct. 2008.