What are sifted colimits ?
(2010) Theory and Applications of Categories — Vol. 23, n° 13, p. 251-260 (2010)
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- Abstract
- 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.
- Affiliations
Technical university Braunschweig, Institute of theoretical computer science
Citations
Adamek, J., Rosicky, J., & Vitale, E. (2010). What are sifted colimits ? Theory and Applications of Categories, 23(13), 251-260. https://hdl.handle.net/2078.5/157942 (Original work published 2010)