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Stone Coalgebras
2003
Electronical Notes in Theoretical Computer Science
In this paper we argue that the category of Stone spaces forms an interesting base category for coalgebras, in particular, if one considers the Vietoris functor as an analogue to the power set functor. We prove that the so-called descriptive general frames, which play a fundamental role in the semantics of modal logics, can be seen as Stone coalgebras in a natural way. This yields a duality between the category of modal algebras and that of coalgebras over the Vietoris functor. Building on this
doi:10.1016/s1571-0661(04)80638-8
fatcat:m2fs3hoggrcl7giex2amwykxim