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@article{1376868, author = {Vokřínek, Lukáš}, article_number = {5}, doi = {http://dx.doi.org/10.1080/00927872.2015.1033718}, keywords = {Derived limit; Derived colimit; Mayer-Vietoris sequence; Pushout of categories}, language = {eng}, issn = {0092-7872}, journal = {Communications in Algebra}, title = {Pushouts of Categories, Derived Limits, and Colimits}, volume = {44}, year = {2016} }
TY - JOUR ID - 1376868 AU - Vokřínek, Lukáš PY - 2016 TI - Pushouts of Categories, Derived Limits, and Colimits JF - Communications in Algebra VL - 44 IS - 5 SP - 2110-2117 EP - 2110-2117 SN - 00927872 KW - Derived limit KW - Derived colimit KW - Mayer-Vietoris sequence KW - Pushout of categories N2 - 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. ER -
VOKŘÍNEK, Lukáš. Pushouts of Categories, Derived Limits, and Colimits. \textit{Communications in Algebra}. 2016, roč.~44, č.~5, s.~2110-2117. ISSN~0092-7872. Dostupné z: https://dx.doi.org/10.1080/00927872.2015.1033718.
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