Abstract. This paper deals with the landmark results of Benson and Carlson's Projective resolutions and Poincaré duality complexes. Our goal is to provide some necessary background for that work, and to prove some of their results in a more general setting. In particular, we analyze what happens when we replace Benson and Carlson's complex CThis paper appeared in the Journal of Algebra 179 (1996), 775-792.with an arbitrary Yoneda extension representing
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