Pushouts of Categories, Derived Limits, and Colimits
| Autoři | |
|---|---|
| Rok publikování | 2016 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Communications in Algebra |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | https://doi.org/10.1080/00927872.2015.1033718 |
| Obor | Obecná matematika |
| Klíčová slova | Derived limit; Derived colimit; Mayer-Vietoris sequence; Pushout of categories |
| Popis | We provide a counterexample to a theorem of Ford, namely a pushout square of categories with all involved functors injective, such that there is no associated exact "Mayer-Vietoris" sequence of derived limits. Further, we construct a Mayer-Vietoris sequence for derived (co) limits under some additional hypotheses, extending the well-known case of a pushout square of group monomorphisms. |
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