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Actions of groups of diffeomorphisms on one-manifolds

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 نشر من قبل Shigenori Matsumoto
 تاريخ النشر 2013
  مجال البحث
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Denote by $DC(M)_0$ the identity component of the group of compactly supported $C^infty$ diffeomorphisms of a connected $C^infty$ manifold $M$, and by $HR$ the group of the homeomorphisms of $R$. We show that if $M$ is a closed manifold which fibers over $S^m$ ($mgeq 2$), then any homomorphism from $DC(M)_0$ to $HR$ is trivial.



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