Les voisinages ouverts réguliers

L. Siebenmann; L. Guillou; H. Hähl

Annales scientifiques de l'École Normale Supérieure (1973)

  • Volume: 6, Issue: 2, page 253-293
  • ISSN: 0012-9593

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Siebenmann, L., Guillou, L., and Hähl, H.. "Les voisinages ouverts réguliers." Annales scientifiques de l'École Normale Supérieure 6.2 (1973): 253-293. <http://eudml.org/doc/81917>.

@article{Siebenmann1973,
author = {Siebenmann, L., Guillou, L., Hähl, H.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {fre},
number = {2},
pages = {253-293},
publisher = {Elsevier},
title = {Les voisinages ouverts réguliers},
url = {http://eudml.org/doc/81917},
volume = {6},
year = {1973},
}

TY - JOUR
AU - Siebenmann, L.
AU - Guillou, L.
AU - Hähl, H.
TI - Les voisinages ouverts réguliers
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1973
PB - Elsevier
VL - 6
IS - 2
SP - 253
EP - 293
LA - fre
UR - http://eudml.org/doc/81917
ER -

References

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  1. [1] N. BOURBAKI, Éléments de mathématiques, Topologie générale, Livre I (4e éd.), Hermann, Paris, 1965. 
  2. [2] M. BROWN, A proof of the generalized Schoenflies theorem (Bull. Amer. Math. Soc., vol. 66, 1960, p. 74-76). Cf. aussi A. DOUADY, Plongement des sphères [Séminaire Bourbaki, 13e année (1960-1961), fasc. 1 (2e éd.), n° 205]. Zbl0132.20002
  3. [3] M. BROWN, The monotone union of open n-cells is an open n-cell (Proc. Amer. Math. Soc., vol. 12, 1961, p. 812-814). Zbl0103.39305MR23 #A4129
  4. [4] L. GUILLOU et H. HÄHL, Les voisinages ouverts réguliers: Critères homotopiques d'identification (à paraître). Zbl0344.57002
  5. [5] P. HOLM, The microbundle representation theorem (Acta Mathematica, vol. 117, 1967, p. 191-213). Zbl0148.17502MR34 #8427
  6. [6] R. C. KIRBY et L. C. SIEBENMANN, Some basic theorems for topological manifolds (preprint). Zbl0216.45203
  7. [7] J. M. KISTER, Microbundles are fiber bundles (Ann. of Math., vol. 80, 1964, p. 190-199). Zbl0131.20602MR31 #5216
  8. [8] S. KOBAYASHI et K. NOMIZU, Foundations of Differential Geometry, I, Interscience, New-York, 1963. Zbl0119.37502MR27 #2945
  9. [9] N. H. KUIPER et R. K. LASHOF, Microbundles and bundles, I (Invent. Math., vol 1, 1966, p. 1-17). Zbl0142.21901MR35 #7339
  10. [10] B. MAZUR, The method of infinite repetition in pure topology I (Ann. of Math., vol. 80, 1964, p. 201-226). Zbl0133.16506MR29 #6477
  11. [11] L. C. SIEBENMANN, The obstruction to finding a boundary for an open manifold of dimension ≥ 5 (Thesis, Princeton, 1965). 
  12. [12] L. C. SIEBENMANN, On the homotopy type of compact topological manifolds (Bull. Amer. Math. Soc., vol. 74, 1968, p. 738-742). Zbl0165.56703MR37 #3567
  13. [13] L. C. SIEBENMANN, Deformation of homeomorphisms on stratified sets (Comment. Math. Helv., vol. 47, 1972, p. 123-163). Zbl0252.57012MR47 #7752
  14. [14] L. C. SIEBENMANN, Regular open neighborhoods (General Topology and its applications, vol. 6, 1973, p. 51-61). Zbl0276.57003MR51 #6831
  15. [15] L. C. SIEBENMANN, Some locally triangulable compact metric spaces that are not simplicial complexes. 
  16. [16] L. C. SIEBENMANN, L. GUILLOU et H. HÄHL, Les voisinages ouverts réguliers: Critères homotopiques d'existence (à paraître). Zbl0318.57011
  17. [17] J. R. STALLINGS, Lectures on polyhedral topology, Tata Institute of Fundamental Research, Bombay, 1968. Zbl0182.26203
  18. [18] E. C. ZEEMAN, Seminar on combinatorial topology, mimeographed, Bures-sur-Yvette and University of Warwick, 1963. 

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