Scott-representability of some spaces of Tall and Miskin
Keywords: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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