Geodesic
What are sifted colimits?
Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 251-260
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Sifted colimits, important for algebraic theories, are "almost" just the combination of filtered colimits and reflexive coequalizers. For example, given a finitely cocomplete category $\cal A$, then a functor with domain $\cal A$ preserves sifted colimits iff it preserves filtered colimits and reflexive coequalizers. But for general categories $\cal A$ that statement is not true: we provide a counter-example.

Classification : 18A30, 18A35
Keywords: sifted colimit, reflexive coequalizer, filtered colimit 
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     author = {J. Adamek and J. Rosicky and E. M. Vitale},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2010_23_a12/}
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J. Adamek; J. Rosicky; E. M. Vitale. What are sifted colimits?. Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 251-260. http://geodesic.mathdoc.fr/item/TAC_2010_23_a12/