2006/08/31 by Tamar Janelidze, Janelidze, Tamar · 1 citation
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #math.CT
paper · pdf · doi:10.48550/arxiv.math/0608774
to be published in "Journal of Homotopy and Related Structures"
arxiv created 2006/08/31 · arxiv updated 2009/12/01
We introduce relative homological and weakly homological categories, where ``relative'' refers to a distinguished class of normal epimorphisms. It is a generalization of homological categories, but also protomodular categories can be regarded as examples. We indicate that the relative versions of various homological lemmas can be proved in a relative homological category.