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Continuous Images of Compact Semilattices

Published online by Cambridge University Press:  20 November 2018

Murray Bell  and
Jan Pelant
Murray Bell
Affiliation:
Department of Mathematics University of Manitoba Winnipeg, Canada R3T 2N2
Jan Pelant
Affiliation:
Mathematical Institute Czechoslovak Academy of Sciences Praha, Czechoslovakia
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Abstract

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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.

Keywords

Primary 54B20Secondary 54C05HyadicCompact SemilatticesCardinal Subspaces
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987 , pp. 109 - 113
Copyright
Copyright © Canadian Mathematical Society 01

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