Lawvere-tierney topologies for computability theorists

HIGHLIGHTS

  • who: Takayuki Kihara from the (UNIVERSITY) have published the Article: Lawvere-Tierney topologies for computability theorists, in the Journal: (JOURNAL) of August/19,/2022
  • what: For instance the authors show that there exists no minimal Lawvere-Tierney topology which is strictly above the identity topology on the effective topos. While the notion of Lawvere-Tierney topology is originally studied in an abstract context, the authors develop the theory in the most intuitive and elementary way possible. Hyland`s embedding can be extended to partial functions or even partial multifunctions on N. By extending this further . . .

     

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