Scalars, Monads, and Categories
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Publication:5416216
zbMath1342.18007arXiv1003.0585MaRDI QIDQ5416216
Publication date: 19 May 2014
Full work available at URL: https://arxiv.org/abs/1003.0585
monoidal categoriesgroup actionscategory of setsKleisli categories associated with monadsmonoidal Lawvere theories
General and philosophical questions in quantum theory (81P05) Group actions and symmetry properties (58D19) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Categories of sets, characterizations (18B05) Eilenberg-Moore and Kleisli constructions for monads (18C20)
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A divertimento on MonadPlus and nondeterminism ⋮ From Coalgebraic to Monoidal Traces ⋮ From probability monads to commutative effectuses ⋮ Representable Markov categories and comparison of statistical experiments in categorical probability ⋮ Dilations and information flow axioms in categorical probability ⋮ Generalized Płonka sums and products ⋮ Disintegration and Bayesian inversion via string diagrams ⋮ Trace semantics via determinization
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