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Spaces of maximal points

Published online by Cambridge University Press:  01 October 1997

JIMMIE LAWSON
JIMMIE LAWSON
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA
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Abstract

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This paper shows that it is precisely the complete metrizable separable metric spaces that can be realized as the set of maximal points of an ω-continuous dcpo, where the set of maximal points is topologized with the relative Scott topology.

Information

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 7 , Issue 5 , October 1997 , pp. 543 - 555
Copyright
1997 Cambridge University Press