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Currently displaying 1 – 3 of 3

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Anneaux locaux et espaces de lacets à séries de Poincaré irrationnelles

Jean-Michel Lemaire

Séminaire Bourbaki

Sommes connexes fibrées en cercles

Marc Aubry; Jean-Michel Lemaire — 1985

Bulletin de la Société Mathématique de France

Sur certaines équivalences d'homotopies

M. Aubry; Jean-Michel Lemaire — 1991

Annales de l'institut Fourier

On sait qu’il y a 144 classes d’homotopies d’applications de $S^{3} \times S^{3}$ dans lui-même dont la restriction à $S^{3} \lor S^{3}$ est homotope à l’identité: ce sont des exemples d’applications qui induisent l’identité en homologie et en homotopie. Plus généralement, soit $X$ un complexe de Poincaré 1-connexe de dimension $n$ , qui n’a pas le type d’homotopie rationnelle de $S^{n}$ : si $X$ est formel, nous montrons que le groupe des classes d’homotopies d’applications de $X$ dans $X$ , dont la restriction au $(n - 1)$ -squelette est homotope à l’identité,...

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