Algebra ∩ coalgebra = presheaves

  • Authors:
  • J. Adámek

  • Affiliations:
  • Technical University of Braunschweig

  • Venue:
  • CALCO'05 Proceedings of the First international conference on Algebra and Coalgebra in Computer Science
  • Year:
  • 2005

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Abstract

The intersection of algebra and coalgebra, i.e., the collection of all categories that are varieties as well as covarieties, is proved to consist of precisely the presheaf categories.