Idempotent splittings, colimit completion, and weak aspects of the theory of monads

Gabriella Böhm; Stephen Lack; Ross Street

doi:10.1016/j.jpaa.2011.07.003

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arXiv · 1102.4931

Idempotent splittings, colimit completion, and weak aspects of the theory of monads

Gabriella Böhm·Stephen Lack·Ross Street

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Abstract

We show that some recent constructions in the literature, named `weak' generalizations, can be systematically treated by passing from 2-categories to categories enriched in the Cartesian monoidal category of Cauchy complete categories.

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Gabriella Böhm, Stephen Lack, Ross Street. 2011-02-24. Idempotent splittings, colimit completion, and weak aspects of the theory of monads. https://doi.org/10.1016/j.jpaa.2011.07.003

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