The limit–colimit coincidence theorem for -categories

  • Authors:
  • Mateusz Kostanek;PaweŁ/ Waszkiewicz

  • Affiliations:
  • Theoretical computer science, jagiellonian university, ul. s. Ł/ojasiewicza 6, 30-348 krakó/w, poland email: kostanek@gmail.com/ pqw@tcs.uj.edu.pl;Theoretical computer science, jagiellonian university, ul. s. Ł/ojasiewicza 6, 30-348 krakó/w, poland email: kostanek@gmail.com/ pqw@tcs.uj.edu.pl

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2010

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Abstract

We prove that the category of -cocomplete separated -categories has bilimits of expanding sequences. This result generalises on various levels the well-known theorem of domain theory that guarantees the existence of bilimits in the category of directed-complete posets and Scott-continuous maps.