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

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spelling	doaj-80c28e09572b4086b504e12c4f37e5c02020-11-24T23:14:22ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472008-10-019228129210.4995/agt.2008.18071465Scott-representability of some spaces of Tall and MiskinHarold Bennet0David Lutzer1Texas Tech UniversityCollege of William & MaryIn 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.http://polipapers.upv.es/index.php/AGT/article/view/1807DomainScott-domainScott-domain-representable spaceMoore spaceComplete Moore spaceCocompactCech-completeSubcompactChoquet complete
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Harold Bennet David Lutzer
spellingShingle	Harold Bennet David Lutzer Scott-representability of some spaces of Tall and Miskin Applied General Topology Domain Scott-domain Scott-domain-representable space Moore space Complete Moore space Cocompact Cech-complete Subcompact Choquet complete
author_facet	Harold Bennet David Lutzer
author_sort	Harold Bennet
title	Scott-representability of some spaces of Tall and Miskin
title_short	Scott-representability of some spaces of Tall and Miskin
title_full	Scott-representability of some spaces of Tall and Miskin
title_fullStr	Scott-representability of some spaces of Tall and Miskin
title_full_unstemmed	Scott-representability of some spaces of Tall and Miskin
title_sort	scott-representability of some spaces of tall and miskin
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2008-10-01
description	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.
topic	Domain Scott-domain Scott-domain-representable space Moore space Complete Moore space Cocompact Cech-complete Subcompact Choquet complete
url	http://polipapers.upv.es/index.php/AGT/article/view/1807
work_keys_str_mv	AT haroldbennet scottrepresentabilityofsomespacesoftallandmiskin AT davidlutzer scottrepresentabilityofsomespacesoftallandmiskin
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Scott-representability of some spaces of Tall and Miskin

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