Homologie des fibrés à singularités

Jean-Paul Brasselet

Mémoires de la Société Mathématique de France (1979)

  • Volume: 61, page 1-78
  • ISSN: 0249-633X

How to cite

top

Brasselet, Jean-Paul. "Homologie des fibrés à singularités." Mémoires de la Société Mathématique de France 61 (1979): 1-78. <http://eudml.org/doc/94808>.

@article{Brasselet1979,
author = {Brasselet, Jean-Paul},
journal = {Mémoires de la Société Mathématique de France},
keywords = {c-stratified pair of spaces; spectral sequence of a c-stratified map; tubular neighborhood; Serre spectral sequence; Fary spectral sequence; fibrations with singularities},
language = {fre},
pages = {1-78},
publisher = {Société mathématique de France},
title = {Homologie des fibrés à singularités},
url = {http://eudml.org/doc/94808},
volume = {61},
year = {1979},
}

TY - JOUR
AU - Brasselet, Jean-Paul
TI - Homologie des fibrés à singularités
JO - Mémoires de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 61
SP - 1
EP - 78
LA - fre
KW - c-stratified pair of spaces; spectral sequence of a c-stratified map; tubular neighborhood; Serre spectral sequence; Fary spectral sequence; fibrations with singularities
UR - http://eudml.org/doc/94808
ER -

References

top
  1. [1] ARMSTRONG M.A. — Extending triangulations, Proc. Amer. Math. Soc., 18 (1967), 701-704. Zbl0149.41301MR36 #4565
  2. [2] ANTOINE P. — Notes sur les isomorphismes de Thom, d'après un cours de H. Cartan Multigraphié, Lille 1964-1965. 
  3. [3] ANTONELLI P.L. — Structure theory for Montgomery-Samelson fiberings between manifolds I, Canadian J. Math., 21 (1969), 170-179. Zbl0169.54804MR38 #6596
  4. [4] BARRATT-GUGENHEIM-MOORE — On semisimplicial fibre-bundles, Am. J. Math., 81, (1959), 639-657. Zbl0127.39002MR22 #1895
  5. [5] BOREL A. — Seminar on transformation groups, Annals of Mathematic Studies, 46, Princeton University Press, 1960. Zbl0091.37202MR22 #7129
  6. [6] BRASSELET J.P. — Suite spectrale des applications C°-stratifiées, (multigraphié) — Thèse — Lille 1977. 
  7. [7] BREDON G.E. — Sheaf Theory, Mac Graw Hill Series in Higher Mathematics, 1967. Zbl0158.20505MR36 #4552
  8. [8] BREDON G.E. — Introduction to compact transformation groups, Academic Press, 1972. Zbl0246.57017MR54 #1265
  9. [9] BROWN M. — Locally flat imbeddings of topological manifolds, Ann. of Math., 75 (1962), 331-341. Zbl0201.56202MR24 #A3637
  10. [10] CARTAN H. — Topologie Algébrique, Séminaire E.N.S., 1948-1949. 
  11. [11] CARTAN H. — Algèbres d'Eilenberg-Mac Lane et homotopie, Séminaire E.N.S., 1954-1955. 
  12. [12] CARTAN H. — Quelques questions de topologie, Séminaire E.N.S., 1956-1957. 
  13. [13] CARTAN H. et EILENBERG S. — Homological Algebra, Princeton Mathematical Series, 1956. Zbl0075.24305MR17,1040e
  14. [14] CONNER P.E. et DYER E. — On singular fiberings by spheres, Mich. Math. J. 6, (1959), 303-311. Zbl0090.39203MR22 #7123
  15. [15] EILENBERG S. — Singular Homology Theory, Ann. of Math. 45, (1944), 407-447. Zbl0061.40603MR6,96f
  16. [16] EILENBERG S. et MAC LANE S. — On the groups H(π,n). Ann. of Math. 58, (1953), 55-106. Zbl0050.39304MR15,54b
  17. [17] EILENBERG S. et STEENROD N. — Foundations of Algebraic Topology, Princeton Mathematical Series, 1952. Zbl0047.41402MR14,398b
  18. [18] FÁRY I. — Valeurs critiques et Algèbres spectrales d'une application, Ann. of Math. 63, (1956), 437-490. Zbl0073.39804MR17,1118d
  19. [19] GUGENHEIM V.K.A.M. — On a theorem of E.H. Brown, I11. J. Math. 4, (1960), 292-311. Zbl0117.40203MR22 #2990
  20. [20] HU S.T. — On fiberings with singularities, Mich. Math. J. 6, (1959), 131-149. Zbl0085.37801MR21 #3856
  21. [21] HUDSON J.F.P. — Piecewise linear Topology, Benjamin, 1969. Zbl0189.54507MR40 #2094
  22. [22] MONTGOMERY D. et SAMELSON H. — Fiberings with singularities, Duke Math. J. 13, (1946), 51-56. Zbl0060.41501MR7,471a
  23. [23] SERRE J.P. — Homologie singulière des espaces fibrés, Ann. of Math. 54, (1951), 425-505. Zbl0045.26003MR13,574g
  24. [24] SHIH W. — Homologie des espaces fibrés, Publications Mathématiques, IHES, n° 13. Zbl0105.16903
  25. [25] STEENROD N. — The topology of fibre bundles, Princeton University Press (1951). Zbl0054.07103MR12,522b
  26. [26] THOM R. — Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc., 75 (1969), 240-284. Zbl0197.20502MR39 #970
  27. [27] TIMOURIAN J.G. — Fiber bundles with discrete singular set, J. Math. Mech., 18, (1968), 61-70. Zbl0169.25803MR38 #3875

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.