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Continuous Images of Compact Semilattices
Published online by Cambridge University Press: 20 November 2018
Abstract
Hyadic spaces are the continuous images of a hyperspace of a compact space. We prove that every non-isolated point in a hyadic space is the endpoint of some infinite cardinal subspace. We isolate a more general order-theoretic property of hyerspaces of compact spaces which is also enjoyed by compact semilattices from which the theorem follows.
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- Copyright © Canadian Mathematical Society 01
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