Applied General Topology (Oct 2008)

Scott-representability of some spaces of Tall and Miskin

  • Harold Bennet,
  • David Lutzer

DOI
https://doi.org/10.4995/agt.2008.1807
Journal volume & issue
Vol. 9, no. 2
pp. 281 – 292

Abstract

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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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