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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 mani
by srean 8y ago
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.
- man-and-laptop 8y ago> A fractal isnt a manifold Some are. A Koch curve for instance.
- srean 8y agoI believe you are correct. Koch curve is a continuous curve so its topological dimension would be 1 (not its fractal dimension).