Scott-representability of some spaces of Tall and Miskin | Zendy

Harold R. Bennet | Zendy; David Lutzer | Zendy

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Scott-representability of some spaces of Tall and Miskin

Author(s) -

Harold R. Bennet,

David Lutzer

Publication year - 2008

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2008.1807

Subject(s) - mathematics , domain (mathematical analysis) , subspace topology , space (punctuation) , pure mathematics , topology (electrical circuits) , discrete mathematics , combinatorics , mathematical analysis , computer science , operating system

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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