John Dickson Dow

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Modified Dickson

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We prove that the following statement follows from the Open Colouring Axiom (OCA): if X is locally compact σ-compact but not compact and if itš Cech-Stone remainder X * is a continuous image of ω * then X is the union of ω and a compact set. It follows that the remainders of familiar spaces like the real line or the sum of countably many Cantor sets need not be continuous images of ω * .

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ژورنال

عنوان ژورنال: BMJ

سال: 2008

ISSN: 0959-8138,1756-1833

DOI: 10.1136/bmj.39498.723912.be