Sur la non-universalité des couples exacts |
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Institution: | Institut de mathématiques et de modélisation de Montpellier, UMR 5149, Université Montpellier II, place Eugène-Bataillon, 34095 Montpellier cedex 5, France |
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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). |
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