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arxiv: 1108.5952 · v1 · pith:GSV3MESHnew · submitted 2011-08-30 · 🧮 math.CT

Commutative monads as a theory of distributions

classification 🧮 math.CT
keywords theorydistributionscommutativemonadsaspectscartesiancategoriesclosed
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The theory of commutative monads on cartesian closed categories provides a framework where aspects of the theory of distributions and other extensive quantities can be formulated and some results proved. We make explicit a link between our theory and the theory of Schwartz distributions of compact support. We also discuss probability distributions.

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