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NORMAL SUBGROUPS OF DIFFEOMORPHISM AND ...

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h 1 ∈ A e ⊂ H by the definition of A e and h 2 ∈ H by Corollary ??, so<br />

g = h 1 h 2 g p ∈ H.<br />

✷<br />

References<br />

[1] R.D. Anderson, The algebraic simplicity of certain groups of homeomorphisms.<br />

Amer. J. Math., 80 (1958), 955-963.<br />

[2] R.D. Anderson, On homeomorphisms as products of a given homeomorphism<br />

and its inverse. Topology of 3-manifolds, ed. M. Fort (Prentice-<br />

Hall, 1961), 231-237.<br />

[3] J. Cerf, The pseudo-isotopy theorem for simply connected differentiable<br />

manifolds. Manifolds - Amsterdam 1970, Springer Lecture Notes in<br />

Math. 197 (1971), 76-82.<br />

[4] A.V. Cernavskii, Local contractibility of the homeomorphism group of<br />

a manifold. Math. USSR Sb., 8 (1969), 287-333.<br />

[5] R.D. Edwards and R.C. Kirby, Deformations of spaces of embeddings.<br />

Ann. of Math., 93 (1971), 63-88.<br />

[6] D.B.A. Epstein, The simplicity of certain groups of homeomorphisms.<br />

Comp. Math., 2 (1970), 165-173.<br />

[7] M. Herman, Sur le groupe des difféomorphismes du tore. Ann. Inst.<br />

Fourier 23 (1973), 75-86.<br />

[8] M. Kervaire and J. Milnor, Groups of homotopy spheres,I. Ann. of<br />

Math., 77 (1963), 504-537.<br />

[9] R.C. Kirby, Stable homeomorphisms and the annulus conjecture. Ann.<br />

Math. 89 (1969), 575-582.<br />

[10] W. Ling, Factorizable groups of homeomorphisms. Comp. Math. 51,<br />

(1984), 41-50.<br />

[11] W. Ling, Normal subgroups of the group of automorphisms of an open<br />

manifold that has boundary, unpublished.<br />

14

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