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connectedness of the omega-limit sets

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viv...@loria.fr

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Sep 27, 2008, 10:00:05 AM9/27/08
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Consider a diffrential equation dx/dt = f(x)
It is well known that if the omega-limit set omega(x0),issued from an
intial condition x0, is compact, it is also connected. But it is true
that an omega-limit set is also arc-connected ?

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