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arxiv: 1507.08172 · v1 · pith:CCLT3NFXnew · submitted 2015-07-29 · 🧮 math.CT

A cottage industry of lax extensions

classification 🧮 math.CT
keywords categoryextensionsmonadmonadsset-basedv-relationsadjunctionassociative
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In this work, we describe an adjunction between the comma category of SET-based monads under the V-powerset monad and the category of associative lax extensions of SET-based monads to the category of V-relations. In the process, we give a general construction of the Kleisli extension of a monad to the category of V-relations.

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