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Sifted colimits, strongly finitary monads and continuous algebras
Theory and applications of categories, Tome 44 (2025), pp. 84-131 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We characterize strongly finitary monads on categories Pos, CPO and DCPO as precisely those preserving sifted colimits. Or, equivalently, enriched finitary monads preserving reflexive coinserters. We study sifted colimits in general enriched categories. For CPO and DCPO we characterize varieties of continuous algebras as precisely the monadic categories for strongly finitary monads.
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Classification : 18C15
Keywords: sifted colimit, monad, continuous algebra 
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     author = {Ji\v{r}{\'\i} Ad\'amek and Mat\v{e}j Dost\'al and Ji\v{r}{\'\i} Velebil},
     title = {Sifted colimits, strongly finitary monads and continuous
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Jiří Adámek; Matěj Dostál; Jiří Velebil. Sifted colimits, strongly finitary monads and continuous
	algebras. Theory and applications of categories, Tome 44 (2025), pp. 84-131. http://geodesic.mathdoc.fr/item/TAC_2025_44_a2/