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Sur les rapprochements par conjugaison en dimension 1 et classe
$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}C^1$
- Part of
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- Journal:
- Compositio Mathematica / Volume 150 / Issue 7 / July 2014
- Published online by Cambridge University Press:
- 19 June 2014, pp. 1183-1195
- Print publication:
- July 2014
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- Article
- Export citation
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We show that the space of actions of every finitely generated, nilpotent group by
$C^1$ orientation-preserving diffeomorphisms of the circle is path-connected. This is done via a general result that allows any given action on the interval to be connected to the trivial one by a continuous path of topological conjugates.
