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Hausdorff dimension, box dimension, packing dimension and similar concepts.
18
votes
2
answers
2k
views
Two definitions of Lebesgue covering dimension
Maybe this question has already been considered here, but after a quick search I didn't find what I was looking for.
As I see, in the literature there are two different definitions of the topologica …
6
votes
1
answer
331
views
Factorization of a certain map through a CW-complex
Suppose that $X$ is a paracompact Hausdorff space (e.g. a metric space) with $\dim X=n$ (the Lebesgue covering dimension). I want to find a proof (or a reference) that any (continuous) map $f: X \to K …