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Timeline for Dimension leaps

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Dec 31, 2009 at 11:36 comment added Daniel Moskovich Put another way, we expect topology to be governed by algebra in dimension $n\geq 5$, but not in dimensions 3 and 4, because of the Whitney embedding theorem.
Nov 13, 2009 at 17:56 comment added Ryan Budney The smooth Poincare conjecture in dimension 4 is still open so there's an argument to be made that it's the most difficult case. But I suppose you could also argue that there's been less of a systematic effort on that problem.
Nov 13, 2009 at 15:52 history answered Qiaochu Yuan CC BY-SA 2.5