Publication details

Pushouts of Categories, Derived Limits, and Colimits

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Year of publication 2016
Type Article in Periodical
Magazine / Source Communications in Algebra
MU Faculty or unit

Faculty of Science

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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