%0 Journal Article
%T Duality for Convexity
%A Bart Jacobs
%J Mathematics
%D 2009
%I arXiv
%X This paper studies convex sets categorically, namely as algebras of a distribution monad. It is shown that convex sets occur in two dual adjunctions, namely one with preframes via the Boolean truth values {0,1} as dualising object, and one with effect algebras via the (real) unit interval [0,1] as dualising object. These effect algebras are of interest in the foundations of quantum mechanics.
%U http://arxiv.org/abs/0911.3834v1