Duality for generalized events

Roman Frič · Czech digital mathematics library · 2004

We study the category of effect algebras (equivalently D-posets) carrying the initial sequential convergence with respect to a set of order determin ing probabilities.We define distinguished subcategories and describe their mutual relationships.In particular, we deal with duality, products, and coproducts.Such structures are suitable for modelling events having fuzzy and quantum nature.

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