Pushouts of Categories, Derived Limits, and Colimits
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Communications in Algebra |
| 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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