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Le complexe de Koszul en algèbre et topologie

Stephen Halperin — 1987

Annales de l'institut Fourier

The Koszul complex, as introduced in 1950, was a differential graded algebra which modelled a principal fibre bundle. Since then it has been an effective tool, both in algebra and in topology, for the calculation of homological and homotopical invariants. After a partial summary of these results we recall more recent generalizations of this complex, and some applications.

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