NORMAL SUBGROUPS OF DIFFEOMORPHISM AND ...

More documents

Recommendations

Info

$(PUC - Rio de Janeiro ALOCA\307\303O.xlsx)$

h 1 ∈ A e ⊂ H by the definition of A e and h 2 ∈ H by Corollary ??, so g = h 1 h 2 g p ∈ H. ✷ References [1] R.D. Anderson, The algebraic simplicity of certain groups of homeomorphisms. Amer. J. Math., 80 (1958), 955-963. [2] R.D. Anderson, On homeomorphisms as products of a given homeomorphism and its inverse. Topology of 3-manifolds, ed. M. Fort (Prentice- Hall, 1961), 231-237. [3] J. Cerf, The pseudo-isotopy theorem for simply connected differentiable manifolds. Manifolds - Amsterdam 1970, Springer Lecture Notes in Math. 197 (1971), 76-82. [4] A.V. Cernavskii, Local contractibility of the homeomorphism group of a manifold. Math. USSR Sb., 8 (1969), 287-333. [5] R.D. Edwards and R.C. Kirby, Deformations of spaces of embeddings. Ann. of Math., 93 (1971), 63-88. [6] D.B.A. Epstein, The simplicity of certain groups of homeomorphisms. Comp. Math., 2 (1970), 165-173. [7] M. Herman, Sur le groupe des difféomorphismes du tore. Ann. Inst. Fourier 23 (1973), 75-86. [8] M. Kervaire and J. Milnor, Groups of homotopy spheres,I. Ann. of Math., 77 (1963), 504-537. [9] R.C. Kirby, Stable homeomorphisms and the annulus conjecture. Ann. Math. 89 (1969), 575-582. [10] W. Ling, Factorizable groups of homeomorphisms. Comp. Math. 51, (1984), 41-50. [11] W. Ling, Normal subgroups of the group of automorphisms of an open manifold that has boundary, unpublished. 14
[12] W. Ling, Translations on M × R. Amer. Math. Soc. Proc. Symp. Pure Math. 32, Part 2 (1978), 167-180. [13] J.N. Mather, Commutators of diffeomorphisms. Comment. Math. Helv., 49 (1974), 512-528. [14] J.N. Mather, Commutators of diffeomorphisms II. Comment. Math. Helv., 50 (1975), 33-40. [15] D. McDuff, The lattice of normal subgroups of the group of diffeomorphisms or homeomorphisms of an open manifold. J. London Math. Soc. (2), 18 (1978), 353-364. [16] J. Milnor, On manifolds homeomorphic to the 7-sphere. Ann. of Math., 64 (1956), 399-405. [17] J. Palis and S. Smale, Structural stability theorems. Amer. Math. Soc. Proc. Symp. Pure Math. 14, (1970), 223-231. [18] W. Thurston, Foliations and groups of diffeomorphisms. Bull. Amer. Math. Soc. 80 (1974), 304-307. 15
Page 1 and 2: NORMAL SUBGROUPS OF DIFFEOMORPHISM
Page 3 and 4: here as Theorem ??. I also prove so
Page 5 and 6: Note that the diffeomorphism f is r
Page 7 and 8: Now, as in the Introduction, we con
Page 9 and 10: A 0 has index 2 in A and so it is a
Page 11 and 12: (straightening the corners, if nece
Page 13: commutes with T . By Proposition ??

NORMAL SUBGROUPS OF DIFFEOMORPHISM AND ...

Create successful ePaper yourself

Delete template?

Save as template?