(Strongly) Zero-Dimensional Partially Ordered Spaces

K. R. Nailana ()
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K. R. Nailana: University of South Africa, Department of Mathematics, Applied Mathematics and Astronomy

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 445-456 from Springer

Abstract: Abstract We give an internal characterization of the notion of zero-dimensionality in preordered topological spaces. It is shown that for compact partially ordered topological spaces this property is equivalent to total order-disconnectedness. We define the notion of strong zero-dimensionality in preordered topological spaces and give several internal characterizations.

Keywords: 54A05; 54B30; 54F05; 54E15; 54E55; preordered spaces; pospaces; quasi-uniform spaces; zero-dimensional preordered spaces; strongly zero-dimensional pospaces. (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2529-3_27

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DOI: 10.1007/978-94-017-2529-3_27

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