A note on coalgebras and presheaves

  • Authors:
  • James Worrell

  • Affiliations:
  • Department of Mathematics, Tulane University, New Orleans, LA 70118

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2005

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Abstract

We show that the category of coalgebras of a wide-pullback preserving endofunctor on a category of presheaves is itself a category of presheaves. This illustrates a connection between Jacobs' temporal logic of coalgebras and Ghilardi and Meloni's presheaf semantics for temporal modalities.