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- Thread starter Ad123q
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quasar987

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In your case, to say that " As soon as two curves c1, c2: [0,1] --> R² are C^1-close together, then "blahblah"" means that there exists epsilon >0 such that whenever |c1(t) - c2(t)| < epsilon and |dc1/dt - dc1/dt| < epsilon for all t, then "blah blah" holds.

A reference is Differential Topology by M Hirsch.

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