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IFIPTCS
2010

Convexity, Duality and Effects

8 years 8 months ago
Convexity, Duality and Effects
This paper describes some basic relationships between mathematical structures that are relevant in quantum logic and probability, namely convex sets, effect algebras, and a new class of functors that we call `convex functors'; they include what are usually called probability distribution functors. These relationships take the form of three adjunctions. Two of these three are `dual' adjunctions for convex sets, one time with the Boolean truth values {0, 1} as dualising object, and one time with the probablity values [0, 1]. The third adjunction is between effect algebras and convex functors.
Bart Jacobs
Added 13 Feb 2011
Updated 13 Feb 2011
Type Journal
Year 2010
Where IFIPTCS
Authors Bart Jacobs
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