Publication details
Pushouts of Categories, Derived Limits, and Colimits
Authors | |
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Year of publication | 2016 |
Type | Article in Periodical |
MU Faculty or unit | |
Citation | |
Doi | http://dx.doi.org/10.1080/00927872.2015.1033718 |
Field | General mathematics |
Keywords | Derived limit; Derived colimit; Mayer-Vietoris sequence; Pushout of categories |
Description | 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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