2 papers
math.CT2009
A "working mathematician's" definition of semi-abelian categories
Manfred Hartl, Bruno Loiseau
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 th…
math.AT2008
Quadratic functors on pointed categories
Manfred Hartl, Christine Vespa
We study polynomial functors of degree 2, called quadratic, with values in the category of abelian groups , and whose source category is an arbitrary category $\C$ with null ob…