Spaces of maximal points

  • Authors:
  • Jimmie Lawson

  • Affiliations:
  • Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 1997

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Abstract

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.