Summary
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
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In memory of Guido Castelnuovo, on the occasion of the first centenary of his birth.
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Hilton, P.J., Pressman, I.S. A generalization of certain homological functors. Annali di Matematica 71, 331–349 (1966). https://doi.org/10.1007/BF02413748
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DOI: https://doi.org/10.1007/BF02413748