Scott-representability of some spaces of Tall and Miskin

Harold Bennet, David Lutzer


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.


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

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