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Commutative monads as a theory of distributions

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Publication:2884475
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zbMath1261.18004arXiv1108.5952MaRDI QIDQ2884475

Anders Kock

Publication date: 29 May 2012

Full work available at URL: https://arxiv.org/abs/1108.5952


zbMATH Keywords

distributionmonadextensive quantity


Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Actions of a monoidal category, tensorial strength (18D25)


Related Items (11)

Probability, valuations, hyperspace: Three monads on top and the support as a morphism ⋮ Functional distribution monads in functional-analytic contexts ⋮ Bundle functors and fibrations ⋮ From probability monads to commutative effectuses ⋮ Representable Markov categories and comparison of statistical experiments in categorical probability ⋮ Codensity and the Giry monad ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Healthiness conditions for predicate transformers ⋮ Cofree coalgebras and differential linear logic ⋮ A categorical foundation for Bayesian probability






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