Scott-representability of some spaces of Tall and Miskin

Scott-representability of some spaces of Tall and Miskin

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...

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Bibliographic Details
Main Authors: Harold Bennet, David Lutzer
Format: Article
Language:English
Published: Universitat Politècnica de València 2008-10-01
Series:Applied General Topology
Subjects:
Domain
Scott-domain
Scott-domain-representable space
Moore space
Complete Moore space
Cocompact
Cech-complete
Subcompact
Choquet complete
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1807
Description
Summary: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.
ISSN:1576-9402
1989-4147

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