Geodesic
Commutators of diffeomorphisms of a manifold with boundary
Annales Polonici Mathematici, Tome 68 (1998) no. 3, pp. 199-210

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A well known theorem of Herman-Thurston states that the identity component of the group of diffeomorphisms of a boundaryless manifold is perfect and simple. We generalize this result to manifolds with boundary. Remarks on $C^r$-diffeomorphisms are included.
DOI : 10.4064/ap-68-3-199-210
Keywords: Group of diffeomorphisms, simplicity, perfectness, manifold with boundary, fixed point theory

Tomasz Rybicki 1

1 
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Tomasz Rybicki. Commutators of diffeomorphisms of a manifold with boundary. Annales Polonici Mathematici, Tome 68 (1998) no. 3, pp. 199-210. doi: 10.4064/ap-68-3-199-210

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