Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets

Félix, Yves; Thomas, Jean-Claude

Annales de l'Institut Fourier, Tome 39 (1989) no. 1, pp. 207-224.

Un des problèmes historiques de la théorie homotopique des espaces est de mesurer l’effet de l’attachement d’une cellule au niveau des groupes d’homotopie. Le problème de l’attachement inerte reste en particulier un problème ouvert. Nous donnons ici une réponse partielle à ce problème.

One of the historical problem in homotopy theory consists to measure the effect of adding a cell in the homotopy groups. In particular, the problem of inert attachment remains an open problem. We give here a partial answer to this question.

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