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Почитываю Гауэрса, и если он раньше еще как-то старался действительно понять что же такое проэктивное пространство то сейчас все больше превращается в поток бреда, слухов которые он слышал о математике и кто насколько крут. Просто с катушек съехал.
Пример:
The one other thing I remember was a piece of superhuman modesty. When Milnor discussed examples of extraordinary facts about differentiable structures on 4-manifolds, the one he mentioned was the fact that there are uncountably many distinct such structures on \mathbb{R}^4, which was discovered by Cliff Taubes. The way Milnor presented it, one could have been forgiven for thinking that the fact that there can be distinct differentiable structures on a 4-manifold was easy, and the truly remarkable thing was getting uncountably many, whereas in fact one of Milnor’s most famous results was the first example of a 4-manifold with more than one differentiable structure. (The result of Taubes is remarkable even given what went before it: the first exotic structures on \mathbb{R}^4 were discovered by Freedman and Kirby.)
И это притом что он сам несколько лет прочитал популярную лекцию по экзотическим структурам открытыми Милнором.
Пример:
The one other thing I remember was a piece of superhuman modesty. When Milnor discussed examples of extraordinary facts about differentiable structures on 4-manifolds, the one he mentioned was the fact that there are uncountably many distinct such structures on \mathbb{R}^4, which was discovered by Cliff Taubes. The way Milnor presented it, one could have been forgiven for thinking that the fact that there can be distinct differentiable structures on a 4-manifold was easy, and the truly remarkable thing was getting uncountably many, whereas in fact one of Milnor’s most famous results was the first example of a 4-manifold with more than one differentiable structure. (The result of Taubes is remarkable even given what went before it: the first exotic structures on \mathbb{R}^4 were discovered by Freedman and Kirby.)
И это притом что он сам несколько лет прочитал популярную лекцию по экзотическим структурам открытыми Милнором.