Recent content by Rick_D
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Graduate Topological dimension of the image of a smooth curve in a manifold
Thanks! That's definitely what I was looking for - the books I have on dimension theory only talk about the inductive and covering dimensions, and I just found out about the Hausdorff dimension. This definitely does the trick - thanks again.- Rick_D
- Post #10
- Forum: Differential Geometry
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Graduate Topological dimension of the image of a smooth curve in a manifold
Here is the situation I am concerned with - Consider a smooth curve g:[0,1] \to M where M is a topological manifold (I'd be happy to assume M smooth/finite dimensional if that helps). Let Im(g) be the image of [0,1] under the map g . Give Im(g) the subspace topology induced by...- Rick_D
- Thread
- Curve Dimension Image Manifold Smooth Topological
- Replies: 9
- Forum: Differential Geometry