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Topic: 1-dimensional submanifold and curve
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Rodolfo Medina

Posts: 15
Registered: 8/21/06
1-dimensional submanifold and curve
Posted: Mar 19, 2009 11:17 AM
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Hi all.

Is it true (and how to prove it?) that a 1-dimension connected submanifold of
an affine space E is always also a curve, i.e. the codomain of a continuous map
from an R interval into E?

Can anyone give any indication about where to find such a statement/result?

Thanks for any reply
Rodolfo




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