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Domain representations of spaces of compact subsets / Ulrich Berger; Jens Blanck; PETTER KRISTIAN KØBER

Mathematical Structures in Computer Science, Volume: 20, Issue: 02, Start page: 107

Swansea University Authors: Ulrich, Berger, Jens, Blanck

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Abstract

Compactness is a central concept in topology, its usefulness is in allowing to treat spaces as 'finite' in some sense. This has particular value for computability. We construct in the paper a domain representation of the space of all compact subspaces of an already domain represented space...

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Published in: Mathematical Structures in Computer Science
ISSN: 0960-1295 1469-8072
Published: Cambridge University Press 2010
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URI: https://cronfa.swan.ac.uk/Record/cronfa7413
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Abstract: Compactness is a central concept in topology, its usefulness is in allowing to treat spaces as 'finite' in some sense. This has particular value for computability. We construct in the paper a domain representation of the space of all compact subspaces of an already domain represented space. This is done by using the Plotkin power domain.
College: College of Science
Issue: 02
Start Page: 107