L'invariance topologique du type simple d'homotopie

Laurent Siebenmann

Séminaire Bourbaki (1972-1973)

  • Volume: 15, page 186-209
  • ISSN: 0303-1179

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Siebenmann, Laurent. "L'invariance topologique du type simple d'homotopie." Séminaire Bourbaki 15 (1972-1973): 186-209. <http://eudml.org/doc/109829>.

@article{Siebenmann1972-1973,
author = {Siebenmann, Laurent},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {186-209},
publisher = {Springer-Verlag},
title = {L'invariance topologique du type simple d'homotopie},
url = {http://eudml.org/doc/109829},
volume = {15},
year = {1972-1973},
}

TY - JOUR
AU - Siebenmann, Laurent
TI - L'invariance topologique du type simple d'homotopie
JO - Séminaire Bourbaki
PY - 1972-1973
PB - Springer-Verlag
VL - 15
SP - 186
EP - 209
LA - fre
UR - http://eudml.org/doc/109829
ER -

References

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  1. [Ch1] T.A. Chapman - Notes on Hilbert Cube Manifolds, mimeographed, University of Kentucky at Lexington, 1973. 
  2. [Ch2] T.A. Chapman - Surgery and handle straightening in Hilbert cube manifolds, preprint 1972, Pacific J. Math. Zbl0267.57006MR383420
  3. [Ch3] T.A. Chapman - Compact Hilbert cube manifolds and the invariance of Whitehead torsion, preprint 1972, Bull. Amer. Math. Soc. Zbl0251.57004MR346794
  4. [Ch4] T.A. Chapman - Topological invariance of Whitehead torsion, preprint 1972. 
  5. [Ch5] T.A. Chapman - All Hilbert cube manifolds are triangulable, preprint 1972. MR286138
  6. [Ch6] T.A. Chapman - Classification of Hilbert cube manifolds and infinite simple homotopy types, preprint 1972. MR286138
  7. [Co] M. Cohen - A Course in Simple-homotopy Theory, Graduate Texts in Math.10, Springer, 1972. Zbl0261.57009MR362320
  8. [E] R.D. Edwards - The topological invariance of simple homotopy type for polyedra, manuscrit polycopié, 1972; preprint UCLA, 1973. MR509068
  9. [H] M. Hirsch - On normal microbundles, Topology5 (1966), 229-240. Zbl0148.17601MR198490
  10. [K] R.C. Kirby - Stable homeomorphisms and the annulus conjecture, Ann. of Math., 89 (1969), 575-582. Zbl0176.22004MR242165
  11. [KS1] R.C. Kirby and L.C. Siebenmann - Triangulation and Hauptvermutung, Bull. Amer. Math. Soc., 75 (1969), 742-749 ; [cf. aussi C. Morlet - Sém. Bourbaki, exposé 362, 1968/69, Lecture Notes in Maths., vol. 179, Springer-Verlag, 1971.] Zbl0189.54701MR242166
  12. [KS2] R.C. Kirby and L.C. Siebenmann - Essays on topological manifolds smoothings and triangulations : III Some basic theorems for topological manifolds, preprint of projected Ann. of Math. Study. 
  13. [L] C. Lacher - Cell-like mappings I, Pacific J. Math., 30 (1969), 717-731. Zbl0182.57601MR251714
  14. [M] J.W. Milnor - Microbundles, Part I, Topology, vol. 3 (1964), Supplement 1, 53-80. Zbl0124.38404MR161346
  15. [S1] L.C. Siebenmann - Infinite simple homotopy types, Indag. Math.32 (1970), 479-495, also Koninkl. Niederl. Akad. Wet. Amsterdam, Series A (Math), 73 (1970), 479-595. Zbl0203.56002MR287542
  16. [S2] L.C. Siebenmann - Approximating cellular maps by homeomorphisms, Topology, 11 (1972), 271-294. Zbl0216.20101MR295365
  17. [W] J.E. West - Mapping cylinders of Hilbert cube factors, Gen. Top. and its App., 1 (1971), 111-125. Zbl0224.57004MR288788
  18. [Wa] F. Waldhausen - Lecture notes, polycopié, Princeton1972, (ils décrivent très brièvement son idée). 

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