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Results tagged with dimension-theory
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user 136326
Hausdorff dimension, box dimension, packing dimension and similar concepts.
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Topological dimension of the image of continuous surjective functions
I did some more reading on the topic and found out a few results in Dimension Theory, R. Engelking, Ch. 1, § 12, that I want to share in case anyone else is interested. They apply for separable metri …
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Topological dimension of the image of continuous surjective functions
Consider two topological spaces $(X,\tau)$ and $(Y,\omega)$ and a continuous surjective function $f\colon X\to Y$.
Let $\mathrm{dim}(X)$ and $\mathrm{dim}(Y)$ denote the Lebesgue covering dimension …
- 71