Autor:	Hartl, Manfred, Loiseau, Bruno
Rok vydání:	2009
Předmět:	Mathematics - Category Theory Mathematics - Algebraic Topology 18A05 18E10
Druh dokumentu:	Working Paper
Popis:	Semi-abelian and finitely cocomplete homological categories are characterized in terms of four resp. three simple axioms, in terms of the basic categorical notions introduced in the first few chapters of MacLane's classical book. As an immediate application we show that categories of diagrams in semi-abelian and similar categories are of the same type; in particular, the category of simplicial or \Gamma-objects in a semi-abelian category is semi-abelian. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0905.4941 Zobrazit plný text záznamu View this record from Arxiv