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Bases as Coalgebras

Bart Jacobs.
The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of this comonad are the topic of study in this paper (following earlier work). It is illustrated how such coalgebras-on-algebras can be&nbsp;[&hellip;]
Published on September 18, 2013

Distances between States and between Predicates

Bart Jacobs ; Abraham Westerbaan.
This paper gives a systematic account of various metrics on probability distributions (states) and on predicates. These metrics are described in a uniform manner using the validity relation between states and predicates. The standard adjunction between convex sets (of states) and effect modules (of&nbsp;[&hellip;]
Published on February 25, 2020

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