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Jul 31, 2023 at 14:03 comment added HJRW The question linked to does NOT support the statement that there is a clean number-theoretic analogue of the Poincaré conjecture.
S Jul 30, 2023 at 22:54 history suggested Tabes Bridges CC BY-SA 4.0
Fixed formatting
Jul 30, 2023 at 20:44 review Suggested edits
S Jul 30, 2023 at 22:54
Sep 5, 2013 at 5:51 history undeleted Kim Morrison
Jul 8, 2013 at 9:48 history edited Andrew Stacey CC BY-SA 3.0
Fixed maths rendering
Aug 21, 2012 at 7:21 history deleted user631
Nov 10, 2009 at 21:49 comment added Ilya Nikokoshev @FC: makes sense, +1. Anyway, I agree I know nothing about what an analogue of Poincare for number fields could be.
Nov 4, 2009 at 22:23 comment added Ilya Nikokoshev It doesn't give me the intuition, either, but the authors of 0904.3399 provide a different reformulation of Poincare, true for number fields, and they apparently have intuition in mind for it: "According to our analogy, the difficulty of the original Poincar ́e conjecture may be coming from that of the corresponding analytic method–gauge theory–in topology."
Nov 4, 2009 at 21:50 comment added Ilya Nikokoshev It's not completely tight, but it works surpisingly well for some theorems, like Poincare conjecture -- see, e.g. my answer to the linked question.
Nov 4, 2009 at 21:45 history answered user631 CC BY-SA 2.5