A 3-polyGEM of nilpotent modulo 2 cohomology

Donghua Jiang[1]

  • [1] LAGA, Institut Galilée, Université Paris Nord, 93430 Villetaneuse (France)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 4, page 1053-1072
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Jiang, Donghua. "Un 3-polyGEM de cohomologie modulo 2 nilpotente." Annales de l’institut Fourier 54.4 (2004): 1053-1072. <http://eudml.org/doc/116130>.

@article{Jiang2004,
abstract = {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.},
affiliation = {LAGA, Institut Galilée, Université Paris Nord, 93430 Villetaneuse (France)},
author = {Jiang, Donghua},
journal = {Annales de l’institut Fourier},
keywords = {polyGEM; Milgram spaces; Eilenberg-Moore spectral sequences},
language = {fre},
number = {4},
pages = {1053-1072},
publisher = {Association des Annales de l'Institut Fourier},
title = {Un 3-polyGEM de cohomologie modulo 2 nilpotente},
url = {http://eudml.org/doc/116130},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Jiang, Donghua
TI - Un 3-polyGEM de cohomologie modulo 2 nilpotente
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 4
SP - 1053
EP - 1072
AB - 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.
LA - fre
KW - polyGEM; Milgram spaces; Eilenberg-Moore spectral sequences
UR - http://eudml.org/doc/116130
ER -

References

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