The Hauptvermutung for C homeomorphisms II. A proof valid for open 4-manifolds
Scharlemann, M. G. ; Siebenmann, L. C.
Compositio Mathematica, Tome 29 (1974), p. 253-264 / Harvested from Numdam
Publié le : 1974-01-01
@article{CM_1974__29_3_253_0,
     author = {Scharlemann, M. G. and Siebenmann, L. C.},
     title = {The Hauptvermutung for $C^\infty $ homeomorphisms II. A proof valid for open 4-manifolds},
     journal = {Compositio Mathematica},
     volume = {29},
     year = {1974},
     pages = {253-264},
     zbl = {0315.57010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1974__29_3_253_0}
}
Scharlemann, M. G.; Siebenmann, L. C. The Hauptvermutung for $C^\infty $ homeomorphisms II. A proof valid for open 4-manifolds. Compositio Mathematica, Tome 29 (1974) pp. 253-264. http://gdmltest.u-ga.fr/item/CM_1974__29_3_253_0/

[1] J. Cerf: T4 = 0. Springer Lecture Notes in Math., No. 53 (1968). | MR 229250 | Zbl 0164.24502

[2] M. Hirsch: On tangential equivalence of manifolds. Ann. Math. 83 (1966) 211-217. | MR 205265 | Zbl 0137.17704

[3] M. Kervaire and J. Milnor: Groups of homotopy spheres I. Ann. of Math. 77 (1963) 504-537. | MR 148075 | Zbl 0115.40505

[4] R.C. Kirby: Lectures on triangulation of manifolds mimeo U. of Calif., Los Angeles, 1969.

[5] R.C. Kirby and M.G. Scharlemann: A curious category which equals TOP. Proceedings of Tokyo Topology Conference of April 1973. | MR 372868 | Zbl 0315.57003

[6] R.C. Kirby and L.C. Siebenmann: On the triangulation of manifolds and the Hauptvermutung. Bull. Amer. Math. Soc. 75 (1969) 742-749. | MR 242166 | Zbl 0189.54701

[7] R.C. Kirby and L.C. Siebenmann: Deformation of smooth and piecewise-linear manifold structures. Essay I of monograph (to appear). | MR 283807

[8] R.C. Kirby and L.C. Siebenmann: Classification of sliced families of smooth or piecewise-linear manifold structures. Essay V of monograph (to appear).

[9] B. Mazur: On embeddings of spheres. Acta Mathematica 105 (1961) 1-17. | MR 125570 | Zbl 0096.37904

[10] E. Moise: Affine structures on 3-manifolds. Ann. of Math. 56 (1952) 96-114. | MR 48805 | Zbl 0048.17102

[11] J. Milnor: Topology from the differentiable viewpoint. Univ. Press of Virginia, Charlottesville, 1965. | MR 226651 | Zbl 0136.20402

[12] J.R. Munkres: Concordance of differentiable structures, two approaches. Michigan Math. J. 14 (1967) 183-191. | MR 212806 | Zbl 0148.17303

[13] J.R. Munkres: Elementary differential topology. Ann. of Math. Study, No. 54, Princeton U. Press, 1962. | MR 163320 | Zbl 0107.17201

[14] C. Rourke and B.J. Sanderson: Introduction to piecewise-linear topology. Springer-Verlag, 1972. | MR 350744 | Zbl 0477.57003

[15] M.G. Scharlemann and L.C. Siebenmann: The Hauptvermutung for smooth singular homeomorphisms, (to appear in 1974 along with [5]). | MR 372871 | Zbl 0315.57009

[16] J. Shaneson: Embeddings with codimension two of spheres and h-cobordisms of S1 x S3. Bull. Amer. Math. Soc. 74 (1968) 972-974. | MR 230325 | Zbl 0167.21602

[17] L. Siebenmann: Topological manifolds. Proc. Int. Cong. Math. Nice, 1970, Gauthier Villars, Paris, 1971. | MR 423356 | Zbl 0224.57001

[18] C.T.C. Wall: Bundles over a sphere. Fund. Math. 61 (1967) 57-72. | MR 227994 | Zbl 0312.57009