Sur la non-universalité des couples exacts

Abstract: We define the notion of triangular (Leray–Koszul) spectral sequence and show that the Jordan spectral invariants of an endomorphism form a triangular spectral sequence. We introduce the concept of a universal coupling between a spectral sequence and a triangular spectral sequence and obtain a second spectral sequence associated to a Massey exact couple. Using these ideas, we construct an example of a spectral sequence which is not derived from an exact couple. To cite this article: B. Bendiffalah, C. R. Acad. Sci. Paris, Ser. I 346 (2008). [Copyright &y& Elsevier]