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Results tagged with dimension-theory
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user 10330
Hausdorff dimension, box dimension, packing dimension and similar concepts.
4
votes
1
answer
797
views
Topological dimension, is it local?
Let $n\in\mathbb N$ and $X$ be a complete metric space.
Assume that there is $\epsilon>0$ such that
$$\dim B_\epsilon(x)\le n$$
for any $x\in X$.
Is it true that $\dim X\le n$?
Here $\di …
- 1,785
4
votes
1
answer
777
views
Example in dimension theory
Could you give me an example of a complete metric space wiht covering dimension $> n$ all of which compact subsets have covering dimension $\le n$?
- 1,785
17
votes
3
answers
3k
views
Nonseparable example in dimension theory?
Could you give me an example of a complete metric space with covering dimension $> n$ all of which closed separable subsets have covering dimension $\le n$?
The question closely related to this o …
- 1,785