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Table des matières de ce fascicule | Article précédent | Article suivant Scharlemann, M. G.; Siebenmann, L. C.
The Hauptvermutung for $C^\infty$ homeomorphisms II. A proof valid for open 4-manifolds. Compositio Mathematica, 29 no. 3 (1974), p. 253-264
Texte intégral djvu | pdf | Analyses Zbl 0315.57010
URL stable: http://www.numdam.org/item?id=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.
Article | 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.
Article | 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.
Article | 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.
Article | MR 227994 | Zbl 0312.57009
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