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Informace o publikaci
Pushouts of Categories, Derived Limits, and Colimits
Autoři | |
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Rok publikování | 2016 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Communications in Algebra |
Fakulta / Pracoviště MU | |
Citace | |
Doi | http://dx.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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