| VOKŘÍNEK, Lukáš. Pushouts of Categories, Derived Limits, and Colimits. Online. 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. [citováno 2024-04-24] |
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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. Online. \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. [citováno 2024-04-24]
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