Un 3-polyGEM de cohomologie modulo 2 nilpotente
Jiang, Donghua1
1 LAGA, Institut Galilée, Université Paris Nord, 93430 Villetaneuse (France)
Annales de l'Institut Fourier, Tome 54 (2004) no. 4, pp. 1053-1072.

On construit un contre-exemple de la conjecture suivante : si la cohomologie modulo 2 réduite d'un polyGEM 1-connexe quelconque est de type fini et si elle n'est pas réduite à (0), alors elle contient au moins un élément non nilpotent.

We give a counter-example of the following conjecture: if the reduced mod 2 cohomology of any 1-connected polyGEM is of finite type and is not trivial, then it contains at least one element of infinite height, i.e., non nilpotent.

DOI : 10.5802/aif.2043
Classification : 55N99, 55S45, 57T35, 55R20, 55T20
Mot clés : polyGEM, espaces de Milgram, suite spectrale d'Eilenberg-Moore
Keywords: polyGEM, Milgram spaces, Eilenberg-Moore spectral sequences
Jiang, Donghua 1

1 LAGA, Institut Galilée, Université Paris Nord, 93430 Villetaneuse (France) 
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Jiang, Donghua. Un 3-polyGEM de cohomologie modulo 2 nilpotente. Annales de l'Institut Fourier, Tome 54 (2004) no. 4, pp. 1053-1072. doi : 10.5802/aif.2043. http://www.numdam.org/articles/10.5802/aif.2043/

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