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Sep
27
comment what-if.xkcd.com: stabbing (simply connected) regions on the 2-sphere with few geodesics
In the case of the US, which fits in a hemisphere, it might simplify things slightly to use gnomonic projection to reduce to the analogous problem with lines and plane regions.
Jan
10
answered Is there a similar theorem in the partially hyperbolic case?
Nov
25
reviewed Reject suggested edit on Degeneration of riemannian metrics with curvature bounds
Nov
9
awarded  Custodian
Nov
3
awarded  Custodian
Nov
3
reviewed Approve suggested edit on Elementary Embeddings and Relative Constructibility
Oct
28
comment Dynamical properties of injective continuous functions on $\mathbb{R}^d$
Thanks! In light of your comment, I added your good point about a stronger downward component and made the wording overall a bit less tentative.
Oct
28
revised Dynamical properties of injective continuous functions on $\mathbb{R}^d$
added 264 characters in body
Oct
28
answered Dynamical properties of injective continuous functions on $\mathbb{R}^d$
Oct
27
awarded  Yearling
Sep
22
awarded  Informed
Sep
2
answered How to understand a solenoid?
Jul
9
answered Force-directed graph drawing in 1D?
Oct
27
awarded  Yearling
Oct
28
awarded  Yearling
Oct
26
awarded  Enlightened
Oct
26
awarded  Nice Answer
Oct
15
comment When is a submanifold of $\mathbf R^n$ given by global equations?
For $S^1$, what about $f(x, y, z) = (x^2 + y^2 - 1, z)$? But is it possible to do a knot?
Jul
23
comment Fixed points which are not locally attractive can have distant basins of attraction?
Under one interpretation of your terms, here's an example. The flow defined by $x' = x^2$ has a non-locally-attracting fixed point at 0, but any open set of negative numbers is attracted to it. But perhaps you mean something else?
Apr
25
comment Orthogonal foliations
+1. This is really nicely written--it's an excellent example of how to give a helpful expository (as opposed to problem-solving) answer.