Scott-representability of some spaces of Tall and Miškin

Harold Bennett; David Lutzer

doi:10.4995/agt.2008.1807

Scott-representability of some spaces of Tall and Miškin

Harold Bennett, David Lutzer

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 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.

Original language	English
Pages (from-to)	281-292
Number of pages	12
Journal	Applied General Topology
Volume	9
Issue number	2
DOIs	https://doi.org/10.4995/agt.2008.1807
State	Published - 2008

Keywords

Cho-quet complete
Cocompact
Complete moore space
Domain
Moore space
Scott-domain
Scott-domain-representable space
Subcompact
Čech-complete

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10.4995/agt.2008.1807

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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 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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AB - 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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Scott-representability of some spaces of Tall and Miškin

Abstract

Keywords

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