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A comment on What Is a Manifold?. Parent comment

Re:What Is a Manifold? by srean on Sunday April 14, 2019 @07:57AM (#19658866)
A fractal isnt a manifold. Discrete sets are an edge case. They are considered to be 0 dimensional manifolds to make them fit, but there is a not much that manifold theory has to say about them.
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Re:What Is a Manifold? by man-and-laptop on Sunday April 14, 2019 @08:05AM (#19658898)
> A fractal isnt a manifold

Some are. A Koch curve for instance.

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Re:What Is a Manifold? by srean on Sunday April 14, 2019 @09:24AM (#19659273)
I believe you are correct. Koch curve is a continuous curve so its topological dimension would be 1 (not its fractal dimension).
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