PUSHOUTS OF CATEGORIES, DERIVED LIMITS, AND COLIMITS

被引：0

作者：

Vokrinek, Lukas ^{[1
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, Kotlarska, CS-61137 Brno, Czech Republic

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 05期

关键词：

Derived limit; Derived colimit; Mayer-Vietoris sequence; Pushout of categories;

D O I：

10.1080/00927872.2015.1033718

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：2110 / 2117

页数：8

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