Scott-representability of some spaces of Tall and Miskin

Harold Bennet; David Lutzer

doi:10.4995/agt.2008.1807

Authors

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

DOI:

https://doi.org/10.4995/agt.2008.1807

Keywords:

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

Abstract

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 G_δ-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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