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

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

2011-02-24

arxiv.org/abs/1102.4931v3

Journal of Pure and Applied Algebra, 216(2):385-403, 2012

Mathematics

Category Theory

LaTeX source 23 pages; v3 final version, minor corrections only, to appear in Journal of Pure and Applied Algebra

Scientific paper

10.1016/j.jpaa.2011.07.003

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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