Commutative monads as a theory of distributions

Mathematics – Category Theory

Scientific paper

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This submission subsumes and simplifies most of two previous submissions by the author, arXiv 1103.6009 and 1105.3405

Scientific paper

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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