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Jan 20, 2010 at 11:09 comment added José Figueroa-O'Farrill Yet certainly there were many topologists trying to prove the Poincaré conjecture by purely topological means.
Dec 13, 2009 at 21:39 comment added Ryan Budney Many topologists were arguing the reverse -- the Poincare conjecture is naturally an analytic statement. It's a misleading coincidence (due to Moise) that you can think of it as a purely topological or combinatorial statement. Classification of 2-manifolds (uniformization) was first proven using analysis. The high-dimensional Poincare conjecture (Smale) used basics of ODEs, if anything it was remarkable for how little analysis his proof used.
Dec 13, 2009 at 17:06 history made wiki Post Made Community Wiki by Anton Geraschenko
Dec 13, 2009 at 15:08 history answered José Figueroa-O'Farrill CC BY-SA 2.5