De Bakker-Zucker processes revisited

  • Authors:
  • Franck van Breugel

  • Affiliations:
  • Department of Computer Science, York University, 4700 Keele Street, Toronto, Canada M3J 1P3

  • Venue:
  • Information and Computation
  • Year:
  • 2004

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Abstract

The sets of compact and of closed subsets of a metric space endowed with the Hausdorff metric are studied. Both give rise to a functor on the category of 1-bounded metric spaces and nonexpansive functions. It is shown that the former functor has a terminal coalgebra and that the latter does not.