Subcategories of lattice-valued convergence spaces

  • Authors:

  • Gunther Jäger

  • Affiliations:

  • Fachbereich Mathematik und Naturwissenschaften, Fachhochschule Darmstadt, Haardtring 100, D-64295 Darmstadt, Germany

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2005

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Abstract

We study several subcategories of Heyting-algebra-valued convergence spaces. These categories generalize the well-known categories of Kent convergence spaces, of limit spaces, of pretopological spaces, of pseudo-topological spaces and of topological limit spaces to the many-valued setting. Moreover a functorial mechanism is described for changing the ''basis-lattice''.