By a natural process of relativization groups Extn(A, φ), πn(A, φ) are defined in any abelian category with sufficient injectives and projectives. Functoriality in φ i spro. ved and excision properties are established; and the groups are shown to behave well under suspension. The technique involves an interplay of different mapping-cone constructions

Additional Metadata
Persistent URL dx.doi.org/10.1007/BF02413748
Journal Annali di Matematica Pura ed Applicata, Series 4
Citation
Hilton, P.J. (P. J.), & Pressman, I. (1966). A generalization of certain homological functors. Annali di Matematica Pura ed Applicata, Series 4, 71(1), 331–349. doi:10.1007/BF02413748