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Results tagged with mg.metric-geometry
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user 3634
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
1
vote
Can every large point set be connected to a given knot?
Here is a plan, based a result I proved in my undergraduate (!) thesis!
Let $Y = (\mathbb{R}^2\times \{ 0\}) \cup (\{0 \} \times \mathbb{R} \times [0,\infty))$.
I'll embed the knot $K$ in $Y$, like s …
- 12.5k
10
votes
Accepted
Decomposing the plane into intervals
Conway and Croft show it can be done for closed intervals and cannot
be done for open intervals in the paper:
Covering a sphere with congruent great-circle arcs.
Proc. Cambridge Philos. Soc. 60, 1964, …
- 12.5k