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Monad (category theory)

In category theory, a branch of mathematics, a monad is a triple ( T , η , μ ) {\displaystyle (T,\eta ,\mu )} consisting of a functor T from a category to itself and two natural transformations η , μ {\displaystyle \eta ,\mu } that satisfy versions of the associativity and unitality axioms. Equivalently, a monad is a monoid in the category of…

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Monad (category theory)

Nodes105
Edges104
Triples3
Avg. degree1.98
Density0.019048
Components1

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monad displaystyle category monads adjunction set functor theory example sets given endofunctor natural free adjoint algebra maps programming functional eta

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SubjectPredicateObjectConfidenceSrc
simulate for-loopsinstance ofallowing languages without mutable state to do things0.80text
topos theoryinstance ofis relevant in different fields0.80text
topics in algebraic geometry related to descentinstance ofis relevant in different fields0.80text

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