The fibre of an iterative adjunction of cells

Félix, Yves
(1997) Journal of Pure and Applied Algebra — Vol. 119, n° 1, p. 53-65 (1997)

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  • Félix, YvesUCLouvain
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Abstract
Let (Y,X) be a relative CW complex with X and Y simply-connected and suppose that the relative homology H*(Y,X;k) is nonzero. Denote by F the homotopy fibre of the inclusion X hooked right arrow Y. We show that the grade of H*(F;k) as a module over H*(Omega Y;k) is less than the relative cone length cl(Y,X). This result appears as a corollary of a deeper result concerning differential modules over differential graded algebras. (C) 1997 Elsevier Science B.V.
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Félix, Y. (1997). The fibre of an iterative adjunction of cells. Journal of Pure and Applied Algebra, 119(1), 53-65. https://doi.org/10.1016/S0022-4049(96)00018-7 (Original work published 1997)