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In section "Extensions" the sentence
"1) Any indefinite non-diagonalizable .."
should be "Any definite non-diagonalizable..". Donaldson's theorem says that any define 4-manifold with a smooth structure most have a diagonalizable intersection form. — Preceding unsigned comment added by 85.97.61.107 (talk) 10:39, 5 October 2024 (UTC)
I changed the status to top, due the great of 4-manifolds to physics and mathematics. Understanding this theorem is crucial to understand our universe, since we live at least in a 4-dimensional manifold. That means extending General Relativty, String Theory and Quantum Gravity theories Daniel de França (talk) 19:11, 12 March 2008 (UTC)
- I bumped it down to high. It is an important theorem, but not crucial. (TimothyRias (talk) 08:02, 1 April 2008 (UTC))
I modified things slightly to at least forward reference the application of Donaldson's theorem to exotic structures, since that is a prime use of it. In response to the above the work is clearly "cruicial" since he won a Fields medal for it, but I suppose high is fine. Adama44 (talk) 21:24, 10 June 2009 (UTC)