Le théorème de Van Kampen

André Gramain

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1992)

  • Volume: 33, Issue: 3, page 237-251
  • ISSN: 1245-530X

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Gramain, André. "Le théorème de Van Kampen." Cahiers de Topologie et Géométrie Différentielle Catégoriques 33.3 (1992): 237-251. <http://eudml.org/doc/91502>.

@article{Gramain1992,
author = {Gramain, André},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {van Kampen's theorem; fundamental group; covering spaces},
language = {fre},
number = {3},
pages = {237-251},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Le théorème de Van Kampen},
url = {http://eudml.org/doc/91502},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Gramain, André
TI - Le théorème de Van Kampen
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1992
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 33
IS - 3
SP - 237
EP - 251
LA - fre
KW - van Kampen's theorem; fundamental group; covering spaces
UR - http://eudml.org/doc/91502
ER -

References

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  1. 1 N. Bourbaki, communication personnelle. 
  2. 2 R. Brown, Groupoids and the van KampenTheorem, Proc. London Math. Soc. (3) 17 (1967), 385-401 Zbl0149.20002MR220279
  3. 3 R. Brown and J.L. Loday, Van Kampen theorems for diagrams of spaces, Topology26 (1987), 311-335 Zbl0622.55009MR899052
  4. 4 R. Crowell, On the van Kampen theorem, Pacific J. Math.9 (1959), 43-50 Zbl0088.39002MR105104
  5. 5 A. Grothendieck, Revêtement étale et groupe fondamental, Séminaire de Géométrie algébrique, Lecture Notes in Math.224, Springer (1971). Zbl0234.14002MR354651
  6. 6 P.J. Higgins, Presentation of groupoids with applications to groups, Proc. Cambridge Phil. Soc.60 (1964), 7-20 Zbl0121.26602MR158018
  7. 7 P. Olum, Non-abelian cohomology and van Kampen's theorem, Ann. of Math.68 (1958), 658-668 Zbl0088.15202MR96218
  8. 8 H. Seifert, Konstruktion dreidimensionaler geschlossener Räume, Ber. Sächs. Akad. Wiss.83 (1931), 26-66. Zbl0002.16001
  9. 9 H. Seifert und W. Threlfall, Lehrbuch der Topologie, english translationAcad. Press (1980). Zbl0009.08601
  10. 10 E. Van Kampen, On the fundamental group of an algebraic curve, Amer. J. of Math.55 (1933), 255-260. Zbl0006.41502MR1506962JFM59.0577.03
  11. 11 E. Van Kampen, On the connection between the fundamental groups of some related spaces, Amer. J. of Math.55 (1933), 261-267. Zbl0006.41503JFM59.0577.04
  12. 12 A.I. Weinzweig, The fundamental group of the union of spaces, Pacific J. Math.11 (1961), 763-776 Zbl0113.38401MR175133

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