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Results tagged with gt.geometric-topology
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user 1227
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
3
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Accepted
A question about the centroids of compact subsets of Euclidean spaces
Even if you restrict to convex sets, I don't think there's a definition of centroid that makes this work for $n > 1$.
For instance, in $\mathbb{R}^2$ consider rectangles of the form $[0, 1] \times [0 …
- 6,571
2
votes
Topological scaling (?)
A closely related problem is the creation of cartograms: maps where areas are distorted to show some data dimension other than actual geographical area. Nice examples can be seen at WorldMapper.
There …
- 6,571
24
votes
Seifert surfaces of torus knots
This picture--for a (7,2) torus knot--shows a geometric pattern you can extend to any (n,2) torus knot.
The image is part of Figure 18 in the visually rich paper by Jarke van Wijk and Arjeh Cohen: …
- 6,571