Fuzzy topologies and topological space objects in a topos

  • Hohle U
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Abstract

The purpose of this paper is to point out the link between Lowen's fuzzy topologies and topological space objects in the topos L-SET. As the main result we obtain the following theorem: Lowen's fuzzy topologies are the external version of the internal topologies in L-SET. © 1986.

Author-supplied keywords

  • Complete Heyting algebras
  • Equality relations
  • Fuzzy topologies
  • L-valued sets
  • Topological space objects

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Authors

  • Ulrich Hohle

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