Geodesic
Kan extensions and lax idempotent pseudomonads
Theory and applications of categories, Tome 26 (2012), pp. 1-29.

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We show that colax idempotent pseudomonads and their algebras can be presented in terms of right Kan extensions. Dually, lax idempotent pseudomonads and their algebras can be presented in terms of left Kan extensions. We also show that a distributive law of a colax idempotent pseudomonad over a lax idempotent pseudomonad has a presentation in terms of Kan extensions.
Publié le :
Classification : 18B35, 06D10, 06B23
Keywords: (co-) lax idempotent pseudomonads, KZ-doctrines, pseudo-distributive laws 
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     author = {F. Marmolejo and R.J. Wood},
     title = {Kan extensions and lax idempotent pseudomonads},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a0/}
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F. Marmolejo; R.J. Wood. Kan extensions and lax idempotent pseudomonads. Theory and applications of categories, Tome 26 (2012), pp. 1-29. http://geodesic.mathdoc.fr/item/TAC_2012_26_a0/