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Results tagged with mg.metric-geometry
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user 15570
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
1
vote
1
answer
74
views
Existence or otherwise of a set of "sufficiently intricate" open cells
In my question Existence or otherwise of a set of "sufficiently intricate" open sets, I asked about whether it is possible to partition Lebesgue-almost all of $\mathbb{R}^d$ into a finite number of co …
- 708
3
votes
1
answer
107
views
Existence or otherwise of a set of "sufficiently intricate" open sets
Fix $d \in \mathbb{N}$. Do there exist mutually disjoint connected open sets $V_1,\ldots,V_n \subset \mathbb{R}^d$ and $\mathbf{v} \in \mathbb{R}^d$ such that
$\mathbb{R}^d \setminus (\bigcup_{i=1}^ …
- 708