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# Thomas Rot

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## Registered User

 Name Thomas Rot Member for 2 years Seen 7 hours ago Website Location VU Amsterdam Age 28
 Apr4 awarded ● Fanatic Mar29 awarded ● Citizen Patrol Feb21 comment Detecting Non-TransversalityJames, you can always perturb it so that the unstable connection disappears, with arbitrary small perturbations (of the function, or of the metric (since $f$ is assumed to be morse)). Feb19 comment Detecting Non-TransversalityDisclaimer: this is not my field of research. There is a vast literature on numerical algorithms trying to detect heteroclinic connections. Some algorithms not only compute a candidate connection, but also give a proof that a connection exists within a certain error bound. This might be interesting to pursue. It is however a hard problem, because the connections between saddles (in two dimensions) are not stable (small perturbations of the function, or the metric, destroy them). I doubt that you can find general analytic algorithms. Jan17 comment Is a manifold with flat ends of bounded geometry?Thank you for your very informative answer. Jan16 awarded ● Nice Question Jan15 comment Is a manifold with flat ends of bounded geometry?@Misha: Thanks. I think I understand the idea in principle, but have to think a little more about the covers appearing in the classification. I would still be very much interested in a more elementary argument, which does depend on the classification. Jan15 comment Is a manifold with flat ends of bounded geometry?@Thomas Richard, This paper: math.sciences.univ-nantes.fr/~carron/flat_end.pdf claims that the the number of ends is finite (I think they implicitly assume that $M$ is connected). Jan15 revised Is a manifold with flat ends of bounded geometry?added 28 characters in body Jan15 asked Is a manifold with flat ends of bounded geometry? Jan11 awarded ● Yearling