Fundamental study: Complete and directed complete Ω-categories

  • Authors:
  • Hongliang Lai;Dexue Zhang

  • Affiliations:
  • Department of Mathematics, Sichuan University, Chengdu 610064, China;Department of Mathematics, Sichuan University, Chengdu 610064, China

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2007

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Abstract

Let @W be a commutative, unital quantale. Complete and directed complete @W-categories are the core objects in Quantitative Domain Theory. This paper, based on the theory of @F-completeness for enriched categories, presents a systematic investigation of completeness and directed completeness of @W-categories.