Connectedness of the space of smooth actions of $\Z^n$ on the interval

arxiv: 1209.1601 · v1 · pith:BNF4NVPBnew · submitted 2012-09-07 · 🧮 math.DS

Connectedness of the space of smooth actions of Z^n on the interval

Christian Bonatti , H\'el\`ene Eynard This is my paper

classification 🧮 math.DS

keywords actionscinfcircleconnectedconnectednessintervalnonfreeorientation-preserving

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We prove that the spaces of $\Cinf$ orientation-preserving actions of $\Z^n$ on $[0,1]$ and nonfree actions of $\Z^2$ on the circle are connected.

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