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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
8
votes
Bijection from the plane to itself that sends circles to squares
The problem is that two distinct squares can have more than two common points (easy to make an example), and under such a bijection these squares would have to go to two distinct circles with more tha …
7
votes
When has discrete understanding preceded continuous?
To add to the theoretical computer science angle: the study of graph algorithms has traditionally been done in a combinatorial setting, because that is way more natural at first of course. But recentl …