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

Yves Félix; Jean-Claude Thomas

Annales de l'institut Fourier (1989)

  • Volume: 39, Issue: 1, page 207-224
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Félix, Yves, and Thomas, Jean-Claude. "Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets." Annales de l'institut Fourier 39.1 (1989): 207-224. <http://eudml.org/doc/74826>.

@article{Félix1989,
abstract = {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.},
author = {Félix, Yves, Thomas, Jean-Claude},
journal = {Annales de l'institut Fourier},
keywords = {inert sequence; cofibre sequence; fibration; fibre-cofibre construction; localization},
language = {fre},
number = {1},
pages = {207-224},
publisher = {Association des Annales de l'Institut Fourier},
title = {Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets},
url = {http://eudml.org/doc/74826},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Félix, Yves
AU - Thomas, Jean-Claude
TI - Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets
JO - Annales de l'institut Fourier
PY - 1989
PB - Association des Annales de l'Institut Fourier
VL - 39
IS - 1
SP - 207
EP - 224
AB - 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.
LA - fre
KW - inert sequence; cofibre sequence; fibration; fibre-cofibre construction; localization
UR - http://eudml.org/doc/74826
ER -

References

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